Find the first two derivatives.

01 / Standard#Your turn

f(x)=x^3+3x^2-4

Official paper · jm02-2025 · 2(a)(ii) · PDF 4

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Use the power rule term by term.

Hint 2

The constant term differentiates to zero.

Worked solution

f′=3x²+6x; f″=6x+6.

Checks and common pitfalls: The derivative of 3x² is 6x.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Differentiate once.
$f'(x)=3x^2+6x$
Differentiate again.
$f''(x)=6x+6$

Think first. Reveal a hint when the class is ready.

2025 JM02