If #f(x)= 3x^3-2 # and #g(x) = e^x #, what is #f'(g(x)) #?
Before differentiating we require to find f(g(x)).
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To find ( f'(g(x)) ), first, we find ( f'(x) ), then substitute ( g(x) ) for ( x ).
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Find ( f'(x) ): [ f'(x) = 9x^2 ]
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Substitute ( g(x) ) for ( x ): [ f'(g(x)) = 9(g(x))^2 ] [ = 9(e^x)^2 ] [ = 9e^{2x} ]
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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.
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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