# How do you find the derivative of # (tan^3(x)+10)^2#?

I get

We use the chain rule, which states that

Putting everything back together, we get

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To find the derivative of ( (tan^3(x) + 10)^2 ):

- Differentiate the outer function with respect to the inner function: ( 2(u) )
- Multiply by the derivative of the inner function.
- The derivative of ( tan^3(x) ) is ( 3tan^2(x) \cdot sec^2(x) ).

Combining these steps, the derivative is: [ 2(tan^3(x) + 10) \cdot 3tan^2(x) \cdot sec^2(x) ]

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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.

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