Find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2

4 answers

There are any number of curves that are tangent to the line y=5x+2 at x=3.

The line y=5x+2 has slope 5, so f'(3)=5
and f(3) touches the line at x=3, so f(3) = 17.

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