# How to determine dy/dx if #y=(cosx)^π#?

We can use here concept of function of a function.

By signing up, you agree to our Terms of Service and Privacy Policy

Using the Power Rule and the Chain Rule, we get,

By signing up, you agree to our Terms of Service and Privacy Policy

To determine dy/dx for y = (cosx)^π, you use the chain rule. First, differentiate the outer function, which is (cosx)^π with respect to x. Then, multiply by the derivative of the inner function, which is the derivative of cosx with respect to x. The derivative of (cosx)^π with respect to x is -(π*sinx)*(cosx)^(π-1).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How can i do this quiestion? Find the first and second derivatives of the following function: #f(x)=2cos(x)+sin(2x)#
- What is the derivative of #y=arcsin(3x )#?
- How do you find the derivative of #tan(x − y) = x#?
- How do you find the derivative of #y=arcsin(2x+1)#?
- How do you find the derivative of #f(x)=7 arcsin(x^2)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7