Question

Find all the points (x,y) on the graph of f(x)=9x^2-36x+35 where the slope of the tangent line is zero.

Answer 1

well, how do you find the slope of the tangent? f'(x)

f'(x) = 18x - 36

so, where does f'(x) = 0?

Remember, x is not your answer; the points (x,f(x)) are the answers