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

1 Answer
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)