Hello
Can you help me to do these two exercises please I block on those please it is on the derivatives of a number
Thank you so much in advance!!!
Answers
Answer:
First rememeber that if we have a function like:
g(x) = x^n
then:
dg(x)/dx = g'(x) = n*x^(n - 1)
And also if we have:
g(x) = f(x) + h(x)
then:
dg(x)/dx = g'(x) = f'(x) + h'(x)
1) We have the function f(x) = (x + 1)^2
We can rewrite this as:
f(x) = x^2 + 2*x + 1
Using both things written above, we know that:
f'(x) = 2*x + 1*2 = 2*x + 2
And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:
f'(-2) = 2*-2 + 2 = -4 + 2 = -2
f'(-2) = -2
b) I suppose that this refers to the inverse function of f(x)
An inverse function is such that:
g( f(x)) = x
f( g(x)) = x
For f(x) = (x + 1)^2
The inverse will be something that first cancels that square, and then subtracts 1.
Then:
g(x) = √x - 1
if we evaluate this in f(x) we get:
g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x
Then the inverse function of f(x) is:
g(x) = √x - 1
This can also be written as:
g(x) = x^(1/2) - 1
Then the derivative of this will be:
g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)
Related Questions
Pleasssssssse help me with this
Answers
Answer:
B. 15x-35
Step-by-step explanation:
multiply 5 by both 3x and -7
5(3x-7)
5(3x) 5(-7)
15x-35
Answer:
your answer will be option B
Step-by-step explanation:
hope it helps
Slope:3,y-intercept:10
Answers
To write slope intercept form from 2 numbers, you take the 3 and covert it to 3/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 10. Veery complicated.
So y=3/1+10
---
hope it helps
What does a perimeter of this figure consist of? Please help asap please
Answers
Answer:
i think its the third section choice
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answers
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
I need to know the answer to the question
Answers
Answer:
X=4
Step-by-step explanation:
Answer and Step-by-step explanation:
To get x, we need to put everything on the right. We start off by multiplying each side by 3.
3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3
7 + 2x = 15
Now, we subtract 7 from each side.
(7 + 2x) - 7 = 15 - 7
2x = 8
Finally, we divide each side by 2.
2x ÷ 2 = 8 ÷ 2
x = 4
The answer to this equation is x = 4.
I hope this helps!
A thanks and 5 stars + brainliests are appreciated, but I help to help!
#teamtrees #PAW (Plant And Water)
a number , x, decreased by the sum of 4x and 6
Answers
Answer:
-3x - 6
Step-by-step explanation:
x - (4x + 6) becomes x - 4x - 6 after we've distributed the multiplication.
We can simplify this result as follows: -3x - 6
Erin uses 2/8 yard of string to make 1 bracelet. Erin will make 6 bracelets. (A) How many yards of string will Erin use to make 6 bracelets? Show or explain how you got your answer. Erin uses 3/8 yard of string to make 1 necklace. Erin will make 5 necklaces. (B) How many yards of string will Erin use to make 5 necklaces? Show or explain how you got your answer.
Answers
Answer:
use math papa
Step-by-step explanation:
Answer:
the answer is A because thats the answer
WILL MARK BRAINLIEST
Answers
Answer:
first table
Step-by-step explanation:
other three tables have an 'x' value that maps to more than one 'y' value
V=pi r ^2 h solve for pi
Pls help me I can’t figure this one out...
Answers
Answer:
pi = V - r^2
Step-by-step explanation:
subtract r^2 from both sides !!!
How many rays can you see in the picture?
Answers
Answer:
41
Step-by-step explanation:
please mark me as brainliest
3x2 equals..WHAT DOES IT EQUAL
Answers
Answer:
6
Step-by-step explanation:
OOO OOO = 6
Please help!! Did he graph the equation correctly?
Answers
plsss help i’ll give brainliest if you give a correct answer
Answers
Answer:
It is x=7.
Step-by-step explanation:
(7)+8=15 You can subtract and you can get 7!!!
Answer:
X = 7
Step-by-step explanation:
If we take the equation
x + 8 = 15
and then subtract 8 on both sides we get
x = 7
so therefore x is 7 to make the value true.
Solve for x.
A. 4°
b. 4.5 °
C. 6 °
d. 11.50 °
Answers
Answer: 5(2x+13)
Step-by-step explanation: Hope this was helpful....
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answers
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means
Answers
Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
please help!!! i have been doing bad in math right now .
Answers
Hope this helps!!
Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.
Answers
Answer:
130°
Step-by-step explanation:
20° + 30° =50°
a triangles full angle is 180°
180° - 50° = 130°
I have no idea how to do this....and I need help...
Which is the graph of 4x + 2y < 3?
Answers
Reason: when you solve for y you will get y < 3/2 -2x
The slope will be -2
And the y-intercept will be (0,3/2)
Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x - 4. What equation represents the area of the floor?
Answers
Answer:
54x ²+21x-20
Step-by-step explanation:
Regina writes the expression y + 9. 3/4 Which expression is equivalent to the one Regina writes? answer choices in picture
Answers
Answer:
the second one
Step-by-step explanation:
the y cannot be inside of the parenthesis
Answer: A
Step-by-step explanation: In all of the other equations your including y in the multiplication, BUT it is supposed be added
Lauryn wants to analyze the weights of
the dogs for people that own that animal
in her class. She records the following
weights in a class survey:
28, 61, 17, 42, 37, 37, 22, 40, 13, 14, 33,
41, 25
What is the median of the data?
Answers
Answer: 33
If you put all the numbers In order from least to greatest and find the middle number you'll get the answer
Can someone please answer this for me it's for a homework assignment.
Answers
Calculate the area of the shapes below.
Answers
Answer:
the answer should be 24ft
Step-by-step explanation:
Answer:
24 ft
Step-by-step explanation:
1/2hb
4=h
12=b
plug in
1/2(4)(12)= 24
Find the sale price to the nearest cent.
5. The sale price of a video game that has been
discounted 40% is $15.48. What was the original
price of the video game?
Answers
Answer:
38.70
Step-by-step explanation:
if you divide it it u can get the answers.
40÷15.48
is 120.4 hundredths or ones or tens or hundreds
Answers
Answer:
Not sure what you're asking but 120.4 is
one hundred
two tens
and four tenths
Please answer the question above.
Answers
Answer:113
Step-by-step explanation:
The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in.
Answers
Step-by-step explanation:
P = L × B
54 = L × 7
54 = 7L
Therefore, L = 54 ÷ 7
L = 7.71
−8.3=d+4.7
Pls Help me
Answers
-d = 13
d = -13
What type of function can be used to model the scenario?
Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.
Linear
Exponential
Quadratic
2. What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Linear
Exponential
Quadratic
Answers
Answer:
1. Exponential
2. Linear
Step-by-step explanation:
1. Exponential
Principal = 15000
Rate, r = 6.5% compounded annually
A = P(1 + r)^t
A = 15000(1 + 0.065)^t
A = 15000(1.065)^t
2. Linear
Let initial amount in bank = x
Amount added per week = 2
Number of weeks or period = t
A = x + 2t