# Math Help - linearization problem...

1. ## linearization problem...

What is the local linearization of e^x^2 near x = 1?

can someone please help me go about this problem...

mathaction

2. Use $f(x) \approx f(a) + f'(a)(x-a)$

So $f(x) = e^{x^2}$ and $f'(x) = 2xe^{x^2}$

$f(1) = e$ and $f'(1) = 2e$

So $f(x) \approx e + 2e(x-1)$