Find an equation of the line tangent to the graph of $y = 7 ^ { x } + 2$ at the point $( 0,3 )$.
A) $y = ( \ln 7 ) x + 3$
B) $y = 7 x + 3$
C) $y = 7 x + 2$
D) $y = ( \ln 7 ) x + 2$

Name: Find an equation of the line tangent to the graph of $y = 7 ^ { x } + 2$ at the point $( 0,3 )$. A) $y = ( \ln 7 ) x + 3$ B) $y = 7 x + 3$ C) $y = 7 x + 2$ D) $y = ( \ln 7 ) x + 2$
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Question

Quizplus · Accepted Answer

The derivative of $y = 7^x + 2$ is $y' = 7^x \ln 7$. At $x = 0$, $y' = \ln 7$. The tangent line at $(0,3)$ is $y = (\ln 7)x + 3$.

Find an Equation of the Line Tangent to the Graph y=7x+2y = 7 ^ { x } + 2y=7x+2

Find an Equation of the Line Tangent to the Graph $y = 7 ^ { x } + 2$