Question

Find the equations of the tangent line and normal line to the curve at the given point.
y=x^4+2e^x , (0,2)

Answer 1

\[
y'= 4 x^3 + 2e ^x\\
y'(0)=2
\]

Answer 2

Tangent
\[
y-2 = 2(x-0)\\
y =2 x + 2
\]

Answer 3

Normal

\[
y -2 =-\frac 1 2 (x-0)\\
y =\frac 1 2 x + 2
\]

Answer 4

Ok. Now i see it. thx much