The problem given was $\displaystyle f(x)=e^{x^2}$ near x = 5 solve for exact answer

$\displaystyle e^{x^2}+2e^{x^2}(x-5)$

$\displaystyle 3e^{x^2}(x-5)$ and then plug in 5 for x

$\displaystyle 3e^{5^2}(x-5)$

simplify

$\displaystyle 3xe^{25}-15ex^25$

is this fine?