# How do you calculate the derivative for #h(t) = t^3 + 2e^t#?

Because:

A constant is "neutral" for derivative (linearity)

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To calculate the derivative of ( h(t) = t^3 + 2e^t ), you would differentiate each term separately. The derivative of ( t^3 ) is ( 3t^2 ), and the derivative of ( 2e^t ) is ( 2e^t ). Therefore, the derivative of ( h(t) ) is ( h'(t) = 3t^2 + 2e^t ).

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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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