Question

For each of the given functions f(x), find the derivative (f^−1)′(c) at the given point c,...

For each of the given functions f(x), find the derivative (f^−1)′(c) at the given point c, first finding a=f^−1(c). (See Theorem 7, page 156 of the Stewart Essential Calculus textbook)

1. f(x)=6x+10x^17; c= −16

a=

(f^-1)' (c) =

f(x)=x^2−9x+27 on the interval [4.5,∞); c=9

a=

(f^-1)' (c) =

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x)=3x2+10x+3. a) Find the derivative of f(x) using the definition of the derivative. (8 marks)...
Let f(x)=3x2+10x+3. a) Find the derivative of f(x) using the definition of the derivative. b) Find the equation of the tangent line at point x=−1
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second...
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second Derivative Test to determine whether it is A. a local minimum B. a local maximum C. test fails D. a saddle point
Find the derivative of each of the following functions: (a) y=x^12 (c) y=7x^5 (e) w=-4u^(1/2) (b)...
Find the derivative of each of the following functions: (a) y=x^12 (c) y=7x^5 (e) w=-4u^(1/2) (b) y =63 (d) w=3u^(-1) (f) w=4u^(1/4) 2. Find the following: (a) d/dx(-x^(-4)) (c) d/dw 5w^4 (e) d/du au^b (b) d/dx 9x^(1/3) (d) d/dx cx^2 (f) d/du-au^(-b)    3. Find f? (1) and f? (2) from the following functions: Find the derivative of each of the following functions: (c) y=x^12 (c) y=7x^5 (e) w=-4u^(1/2) (d) y =63 (d)w=3u^(-1) (f) w=4u^(1/4) 4. (a) y=f(x)=18x (c) f(x)=-5x^(-2)...
Find the derivative of f(x) - In(2x) 1. what point on the graph of f(x) at...
Find the derivative of f(x) - In(2x) 1. what point on the graph of f(x) at which the tangent line is horizontal? 2. what point on the graph of f(x) at which the tangent is vertical? 3. is there a point on the graph f(x) at which the tangent has a slope 1?
1. Find the area of the region bounded by the graph of the function f(x) =...
1. Find the area of the region bounded by the graph of the function f(x) = x4 − 2x2 + 8, the x-axis, and the lines x = a and x = b, where a < b and a and b are the x-coordinates of the relative maximum point and a relative minimum point of f, respectively. 2.Evaluate the definite integral. 26 2 2x + 1 dx 0 3. Find the area of the region under the graph of f...
Find the directional derivative of f at the given point in the direction indicated by the...
Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy),    (0, 1),    θ = π/4
Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)
Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)
find the derivative of the function f at the given point P in the given direction...
find the derivative of the function f at the given point P in the given direction u. f(x,y,z)=zarctan(y/z) P(3,-3,1) u=4i-j+3k
Using the derivative definition, point the derivative value for the given function f(z)=3/z^2 Find in Z0=1+i...
Using the derivative definition, point the derivative value for the given function f(z)=3/z^2 Find in Z0=1+i and write x+iy algebraically.
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write...
consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write in interval notation): Df:=_____________? b) Find the x- and y- intercepts. if any. (write your answers as ordered pairs). c) Find the asymptotes of f, if any. If there are not, write why. (write answers as equations). d) Find all of the critical numbers of f. on what intervals is f increasing/decreasing? show all work
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT