The sketch graph shows the curve of y = x³ − 9x² + 23x − 15.

The point P marked on the curve has its x-coordinate equal to 2.

Find:

a. The gradient function dy/dx

b. The gradient of the curve at P

c. The equation of the tangent at P

d. The coordinates of another point on the curve, Q, at which the tangent is parallel to the tangent at P

e. The equation of the tangent at Q.

Transcribed Image Text:

y A P у 3х3- 9х? + 23х- 15