4. Find derivatives of the functions (do not simplify the answer).
b) f(x) = e^x^2 (x^2+1) + x^4 ( 2^x+1)
I'm having trouble with this, mainly the last term with x as the exponent. Please help.
Remember that
$\displaystyle \frac{d}{dx}2^x=\ln(2)\cdot 2^x$
P.S I can ever remember that so I remember this identity instead
$\displaystyle a^x=e^{\ln(a^x)}=e^{x\ln(a)}$
and I do remember how to take the derivative of e.
So the last term will have derivative
$\displaystyle 4x^3(2^x+1)+x^4(\ln(2)\cdot 2^x)$