# Math Help - Derivatives Help

1. ## Derivatives Help

Can someone help me with this please?
if f(x)=e^3x^2+x
find f '(2).

and find the slope of the tangent to the function
f(x) = 2^x^+3x when x=3

2. Originally Posted by notoriousmc
Can someone help me with this please?
if f(x)=e^3x^2+x
find f '(2).

and find the slope of the tangent to the function
f(x) = 2^x^+3x when x=3
Hi

Do you mean $f(x) = e^{3x^2}+x$
or $f(x) = e^{3x^2+x}$
or $f(x) = \left(e^{3x}\right)^2+x$
or anything else ?

3. I mean that first one that you wrote

4. OK so $f(x) = e^{3x^2}+x$

The derivative of $f(x) = e^{u(x)}$ is $f'(x) = u'(x)\:e^{u(x)}$

6. $f(x) = e^{3x^2+x}$
The derivative of $f(x) = e^{u(x)}$ is $f'(x) = u'(x)\:e^{u(x)}$
Here $u(x) = 3x^2+x$ therefore $u'(x) = 6x+1$
Finally $f'(x) = (6x+1)\:e^{3x^2+x}$