# If #f(x)= 3x-2 # and #g(x) = e^x #, what is #f'(g(x)) #?

The first step is to find f'(x)

Since there is no variable within f'(x) then.

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To find ( f'(g(x)) ), we need to find the derivative of ( f ) with respect to ( g(x) ) and then multiply it by the derivative of ( g(x) ).

First, let's find ( f'(x) ): [ f(x) = 3x - 2 ] [ f'(x) = 3 ]

Now, let's find ( g'(x) ): [ g(x) = e^x ] [ g'(x) = e^x ]

Now, let's evaluate ( f'(g(x)) ): [ f'(g(x)) = f'(e^x) = 3 \times e^x ]

So, ( f'(g(x)) = 3e^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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