What is the local linearization of e^(x^2) near x = 2?
i need help with this bad johnny, i just dont know how to do it
thanks
mathlete
Local linearization means the tangent line of $\displaystyle f(x)=e^{(x^2)}$ at $\displaystyle x=2$.
The line is $\displaystyle y=m\cdot x + C$, where m is the slope and C is a constant.
$\displaystyle m=f'(x)$ at x=2. Find C by plugging the point (2,f(2)).