Question

Given that the graph of f(x) passes through the point (6,10) and that the slope of its tangent line at (x,f(x)) is 2x+5, what is f(5)?

Answer 1

what are your thoughts?

Answer 2

not sure how to start it

Answer 3

apply amistre's profile picture to your derivative function f ' (x ) = 2x + 5, to return to f(x)

Answer 4

the given point is needed to figure what the integration constant is.

Answer 5

integrate f '(x) with respect to x

\[\int\limits f'(x)*dx = \int\limits [2x + 5]*dx\]