Question
Find $f(3)$ and $f^{\prime}(3),$ assuming that the tangent line to $y=f(x)$ at $a=3$ has equation $y=5 x+2 .$
Step 1
The point where the tangent line touches the function is also a point on the function itself. Therefore, we can find $f(3)$ by substitifying $x=3$ into the equation of the tangent line. \[y = 5(3) + 2 = 17\] So, $f(3) = 17$. Show more…
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Key Concepts
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