# What is the derivative of #tan^4(3x)#?

This makes it clear that ultimately (at the last), this is a fourth power function. We'll need the power rule and the chain rule. (Some authors call this combination "The General Power Rule".) In fact we'll need the chain rule twice.

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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 do you differentiate #f(x)= e^x(x^3-1)# using the product rule?
- How do you use the chain rule to differentiate #1/-(4x)#?
- How do you find the derivative of the function #f(x)=1/2x-1/3#?
- How do you differentiate #f(x)=(1-x)tan^2(2x)# using the product rule?
- How do you differentiate #f(x)=sqrt(cose^(4x)# using the chain rule.?

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