Question

What angle does tangent line of y=x^3-x^2-7x+6 , which goes through point M(2;-4) make with x-axis?

Answer 1

Get the first derivative of that cubic function, then get the f'(2) to get the slope of the line, where f'(x) is the first derivative.

Using the slope, the tan(angle)=slope

so arctan(slope) = angle

Answer 2

Thanks!