Mr. French Calculus - Derivatives of Inverse Functions

Question 1

continued: f(x)= sin (x), g(x) is the inverse of f(x), f'(g(x)) at x=1/2 is

Accepted Answer

root 3 / 2

Question 2

f(x) passes through (a,b), dy/dx for (b,a) equals...

Accepted Answer

1/(dy/dx of (a,b)

Question 3

when x=8, f(x)= -3 and f'(x)= -2, find g'(-3) when g(x) is the inverse of f(x).

Accepted Answer

-1/2

Question 4

derivative of inverse f(x) at x=2 equals

Accepted Answer

1/(f'(g(2)) when g(x) is the inverse of f(x)

Question 5

continued: f(x)=x^3 + 2x - 1, solve for g(2) when g(x) is the inverse of f(x).

Accepted Answer

1

Question 6

f(x)= sin(x), -pi/2 < x < pi/2, what is the inverse of f(1/2)?

Accepted Answer

pi/6

Question 7

derivative of inverse f(x) equals...

Accepted Answer

1/(f'(g(x))when g(x) is the inverse of f(x)

Question 8

continued: f(x)= sin(x), the derivative of inverse f(x) at x=1/2 is...

Accepted Answer

2 / root 3

Question 9

continued: f(x)= x^3 + 2x -1, derivative of inverse f(x) at x=2 is...

Accepted Answer

1/5

Question 10

continued: f(x)= x^3 + 2x - 1, f'(1)=?

Accepted Answer

5

Questions 10