Evaluate (d/dx)(e^((3x^2)+3x))?

1 Answer
Anthony R.
Jan 23, 2018

#d/dx[e^(3x^2+3x)]=e^(3x^2+3x)(6x+3)#

Explanation:

Did you mean #d/dx[e^(3x^2+3x)]?# and by evaluate you mean differentiate?

If so, we'll use the chain rule:

#d/dx[e^(3x^2+3x)]=e^(3x^2+3x)*d/dx[3x^2+3x]#

#d/dx[e^(3x^2+3x)]=e^(3x^2+3x)*(6x+3)#

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