The curve C C\,C has equation y=g(x)y = g(x)y=g(x), where g(x)g(x)g(x) is a cubic expression.
It is given that
the coefficient of x3 x^3\,x3 in g(x)g(x)g(x) is 1
C C\,C passes through the origin
C C\,C has a stationary point at (2,−4)(2, -4)(2,−4)
Find g(x)g(x)g(x).
Prove that the stationary point at (2,−4)(2, -4)(2,−4) is a minimum.
43 exam-style questions on WJEC A Level Maths 1.7 Differentiation, covering 1.7.1 Differentiation, 1.7.2 Differentiation, 1.7.3 Differentiation, 1.7.4 Differentiation, 1.7.5 Differentiation, and 1.7.6 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.