Question

Let f(x) = cos(arcsin(x)). a) First find the derivative by using Chain Rule. f'(x) = b) Next, we will find the derivative in a different way. Rewrite f(x) without trigonometric functions (Hint: Set up a right triangle with a side x). When you have finished this step, f(x) can be written as: f(x) = Then find the derivative of this equivalent form of f. f'(x) =

          Let f(x) = cos(arcsin(x)).
a) First find the derivative by using Chain Rule.
f'(x) =
b) Next, we will find the derivative in a different way. Rewrite f(x) without trigonometric functions (Hint: Set up a right triangle with a side x). When you have finished this step, f(x) can be written as:
f(x) =
Then find the derivative of this equivalent form of f.
f'(x) =

Let f(x) = cos(arcsin(x)).
a) First find the derivative by using Chain Rule.
f'(x) =
b) Next, we will find the derivative in a different way. Rewrite f(x) without trigonometric functions (Hint: Set up a right triangle with a side x). When you have finished this step, f(x) can be written as:
f(x) =
Then find the derivative of this equivalent form of f.
f'(x) =

Added by Nathaniel C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/30/2023

Step 1

2) We want to find the derivative f'(x) using the Chain Rule. Recall that the Chain Rule states that if we have a composite function g(h(x)), then the derivative of this function with respect to x is given by g'(h(x)) * h'(x). In our case, we have g(u) = cos(u) Show more…

Show all steps

Thanks for your feedback!

Let f(x) = cos(arcsin(x)). a) First find the derivative by using Chain Rule. f'(x) = b) Next, we will find the derivative in a different way. Rewrite f(x) without trigonometric functions (Hint: Set up a right triangle with a side x). When you have finished this step, f(x) can be written as: f(x) = Then find the derivative of this equivalent form of f. f'(x) =