Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the derivative of #3^(x^2)#?

1 Answer

Jan 3, 2017

#d/(dx) 3^(x^2) =2xln3 *3^(x^2)#

Explanation:

Note that:

#3^(x^2) = (e^ln3)^(x^2)= e^(ln3x^2)#

Using the chain rule:

#d/(dx) 3^(x^2) = d/(dx) e^(ln3x^2) = e^(ln3x^2)*d/(dx) (ln3x^2) = 2ln3xe^(ln3x^2)=2ln3 x 3^(x^2)#

Related questions

See all questions in Differentiating Exponential Functions with Other Bases

Impact of this question

1299 views around the world

You can reuse this answer
Creative Commons License