Question

The slope of the tangent line to a curve is given by f'(x)=4x^2 + 7x -9. If the point ​(0,6​) is on the​ curve, find an equation of the curve.

Answer 1

y-y1=m(x-x1)

Answer 2

if
f'(x)=4x^2 + 7x -9
then
f(x) = y = (4/3) x^3 + (7/2)x^2 - 9 x + constant
use point to get constant
6 = 0 + constant