Salam Academy
Sign inCreate account
Practise

Question bank

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

Sign in to check answers. Your attempts build your mastery and error book.

14 questions

SA-9709-P2-DF-0032 marksL1 FoundationCalculatorGradients
Find the gradient of the curve y=ln⁡(x2+1)y=\ln(x^2+1) at the point where x=1x=1.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-DF-G012 marksL1 FoundationCalculatorStandard derivatives
Differentiate y=e3x+ln⁡(2x)y=e^{3x}+\ln(2x) with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-DF-Q011 markL1 FoundationCalculatorStandard derivatives
ddxln⁡(5x)=\dfrac{d}{dx}\ln(5x)=
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-0011 markL1 FoundationCalculatorWith the chain rule
Differentiate e5x−2e^{5x-2} with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-0021 markL1 FoundationCalculatorWith the chain rule
Differentiate ln⁡(3x+1)\ln(3x+1) with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-Q011 markL1 FoundationCalculatorStandard derivatives
ddx(cos⁡x)\dfrac{d}{dx}(\cos x) is
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-DF-0022 marksL1 FoundationCalculatorStandard derivatives
Differentiate tan⁡2x\tan2x with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-DF-0162 marksL1 FoundationCalculatorWith the chain rule
Differentiate ln⁡(x2+1)\ln(x^2+1) with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-DF-0042 marksL2 StandardCalculatorGradients
Find the gradient of y=tan⁡2xy=\tan2x at the point where x=π8x=\tfrac\pi8.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-DF-0203 marksL2 StandardCalculatorWith the chain rule
Differentiate y=5cos⁡(2x−1)−3e−xy=5\cos(2x-1)-3e^{-x} with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-0032 marksL2 StandardCalculatorWith the chain rule
Differentiate sin⁡2x\sin^2x with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-DF-0013 marksL2 StandardCalculatorStandard derivatives
Find dydx\dfrac{dy}{dx} when y=sin⁡3x+cos⁡2xy=\sin3x+\cos^2x.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-0042 marksL3 ExamCalculatorStandard derivatives
(Paper 3) Differentiate tan⁡−1(2x)\tan^{-1}(2x) with respect to xx.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-D31-0052 marksL3 ExamCalculatorWith the chain rule
Differentiate ln⁡(cos⁡x)\ln(\cos x) with respect to xx, simplifying your answer.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme