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How do you use the chain rule to differentiate #f(x)=e^(3x)#?

1 Answer

Aug 27, 2016

#f'(x)=3e^(3x)#

Explanation:

If #f(x) = f(g(x))# then the Chain rule states that:

#f'(x) = f'(g(x))*g'(x))#

In this example: #f(x) = e^(g(x))# and #g(x) = 3x#

#:. f'(x) = e^(3x) * d/dx(3x) = e^(3x) * 3#

#= 3e^(3x)#

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