The sketch graph shows the curve of y = 5x x 2 . The marked point, P,

Question:

The sketch graph shows the curve of y = 5x− x2. The marked point, P, has coordinates (3, 6).


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 equation of the normal at P.

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