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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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14 questions

SA-9709-P1-DF2-0012 marksL1 FoundationCalculatorChain rule
Differentiate (1−2x)3(1-2x)^3 with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-G012 marksL1 FoundationCalculatorChain rule
Differentiate (3x+1)5(3x+1)^5 with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-Q011 markL1 FoundationCalculatorChain rule
ddx(5x−2)3\dfrac{d}{dx}(5x-2)^3 is
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-Q021 markL1 FoundationCalculatorChain rule
ddx(3x+1)5\dfrac{d}{dx}(3x+1)^5 is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-0032 marksL2 StandardCalculatorChain rule
Differentiate (2x−5)4(2x-5)^4 with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-0042 marksL2 StandardCalculatorRoots and fractions
Differentiate 4x+1\sqrt{4x+1} with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-0153 marksL2 StandardCalculatorUsing it
Find the gradient of the curve y=(x2+1)3y=(x^2+1)^3 at the point where x=1x=1.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0022 marksL2 StandardCalculatorChain rule
Differentiate (x2+3)4(x^2+3)^4 with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0032 marksL2 StandardCalculatorRoots and fractions
Differentiate 12x+1\dfrac{1}{2x+1} with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0042 marksL2 StandardCalculatorRoots and fractions
Differentiate x2+5\sqrt{x^2+5} with respect to xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0053 marksL2 StandardCalculatorUsing it
Find the gradient of the curve y=(4x−3)32y=(4x-3)^{\frac32} at the point where x=3x=3.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-0053 marksL3 ExamCalculatorRoots and fractions
Find dydx\dfrac{dy}{dx} when y=6(3x−1)2y=\dfrac{6}{(3x-1)^2}.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0063 marksL3 ExamCalculatorUsing it
Find the gradient of the curve y=8(x−2)3y=\dfrac{8}{(x-2)^3} at the point where x=3x=3.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF2-0074 marksL4 ChallengingCalculatorUsing it
Find the xx-coordinates of all the points on y=(x2−3)3y=(x^2-3)^3 where the gradient is zero.

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Salam Academy Original Practice · Proposed mark scheme