# How do you differentiate #2^sin(pi*x)#?

The derivative is

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

To differentiate (2^{\sin(\pi x)}), you can use the chain rule.

- Take the derivative of the exponent with respect to (x), which is (\frac{d}{dx}(\sin(\pi x))).
- Then multiply it by the original function, and finally simplify if possible.

The derivative of (\sin(\pi x)) with respect to (x) is (\pi \cos(\pi x)).

So, the derivative of (2^{\sin(\pi x)}) with respect to (x) is (2^{\sin(\pi x)} \cdot \ln(2) \cdot \pi \cos(\pi x)).

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.

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