Can any one help me solve d/dx$\displaystyle e^(3x^2+8x) $
my answer of$\displaystyle e^(3x^2+8x)(6x+8)(3x^2+8x)+e^(3x^2+8x)(6x+8) $ is not correct.
Hello,
Let $\displaystyle u(x)=3x^2+8x$
So you have to find the derivative of $\displaystyle e^{u(x)}$
Chain rule says : $\displaystyle \Bigg([f(g(x))]'=g'(x)f'(g(x))$. Here, $\displaystyle g(x)=u(x)$ and $\displaystyle f(t)=e^t \Bigg)$ -additional part-
Hence we have that the derivative of $\displaystyle e^{u(x)}$ is $\displaystyle u'(x)e^{u(x)}$
Substitute $\displaystyle u(x)$ and $\displaystyle u'(x)$