Question

Find gradient of y=x^2-4x+6 at (3,3)

Answer 1

$y=x^2-4x+6\\y'=2x-4$

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

$y'=2(3)-4\\y'=6-4\\y'=2$

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.