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)#

Related questions
See all questions in Differentiating Logarithmic Functions with Base e
Impact of this question
1811 views around the world
You can reuse this answer
Creative Commons License