June 2024 Paper 3 Q4

4 A curve has equation \(y = x^4 + 2^x\)

Find an expression for \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) [2 marks]

Mark scheme

Scheme	Marks	AO
Obtains one correct term	M1	1.1a
Obtains \(4x^3 + 2^x \ln 2\) Condone \(4x^3 + \ln 2 \times 2^x\) Do not ISW	A1	1.1b
	(2 marks)

\[\frac{\mathrm{d}y}{\mathrm{d}x} = 4x^3 + 2^x \ln 2\]