How do I find the derivative of -2e^(-6x^3)?

1 Answer
NJ
May 18, 2018

=>36x^2e^(-6x^3)

Explanation:

We need to invoke the chain rule.

d/(dx){-2e^(-6x^3)} = -2e^(-6x^3)d/(dx){-6x^3}

The derivative of an exponential is simply itself. But we also have to multiply by the derivative of its argument since the argument is a non-trivial function of x.

= -2e^(-6x^3)(-18x^2)

=36x^2e^(-6x^3)

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