A curve has equation y = f(x) and is such that

i. By using the substitution

or otherwise, find the values of x for which the curve y = f(x) has stationary points.
ii. Find f´´(x) and hence, or otherwise, determine the nature of each stationary point.
iii. It is given that the curve y = f(x) passes through the point (4, −7). Find f(x).

Transcribed Image Text:

f'(x) = 3x2 + 3x 2 -10.