Consider the function

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

f : x \mapsto 3x^2 - 5x + k

. The equation of the tangent to the graph of

f

x = p

y = 7x - 9

. (1) Write down

f'(x)

. (2) Find the value of

p

. (3) Find the value of

k