# Math Help - tangent line help plz

1. ## tangent line help plz

hi everyone

find equation of tangent line to curve y = 3x^2 + e^(1-x) when x =1

2. ## Re: tangent line help plz

Originally Posted by tankertert
hi everyone

find equation of tangent line to curve y = 3x^2 + e^(1-x) when x =1

$f'(x)=6x-e^{1-x}$ , see WA

Equation of tangent to curve at point $a$ is given by :

$y=f(a)+f'(a)(x-a)$

3. ## Re: tangent line help plz

so i should be subbing it in to get

y = (3 x 1^2 + e^{1-1}) + (6 x 1 - e^{1-1})(x-1)

and then solving for x?

4. ## Re: tangent line help plz

simplify expression...

5. ## Re: tangent line help plz

sorry thats i meant