Question

Find the coordinates of the point on the curve y = 2x² - x - 1 at which the gradient is 7

Answer 1

See below

Explanation:

The derivative of the function is the slope

2x^2 - x -1 take derivative ( f ' )

4x -1 equate to 7

7 = 4x -1

x = 2 sub into the original equation to find y = 5