Find the equation of the tangent line to $f ( x ) = 9 x + e ^ { x }$ at the point (0,1).
A) $y = - 10 x - 10$
B) $y = 10 x - 10$
C) $y = 10 x - 1$
D) $y = 10 x + 1$
E) $y = - 10 x - 1$

Question

Quizplus · Accepted Answer

The derivative of $f(x)$ is $f'(x) = 9 + e^x$. At the point (0,1), the slope of the tangent line is $f'(0) = 9 + e^0 = 10$. So the equation of the tangent line is $y - 1 = 10(x - 0)$, or $y = 10x + 1$.

Find the Equation of the Tangent Line To f(x)=9x+exf ( x ) = 9 x + e ^ { x }f(x)=9x+ex

Find the Equation of the Tangent Line To $f ( x ) = 9 x + e ^ { x }$