standard derivatives
What standard derivatives means in Mathematics A-Level, as defined for AQA, WJEC.
Definitions of standard derivatives
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Reference: AQA
The derivatives required at A-level, including d/dx(x^n)=n x^{n-1} for any rational n, d/dx(e^{kx})=k e^{kx}, d/dx(a^{kx})=k a^{kx} ln a, d/dx(sin kx)=k cos kx, d/dx(cos kx)=-k sin kx, d/dx(tan kx)=k sec^2 kx and d/dx(ln x)=1/x.
Formulas for differentiating eᵏˣ, aᵏˣ, sin kx, cos kx and tan kx, combined with the chain rule for linear composite arguments.
Topics that use standard derivatives
- G: Differentiation (AQA A-Level)
- Differentiation (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Chain rule
- Implicit differentiation
- Parametric differentiation
- Product rule
- Quotient rule
- rate of change
- algebraic simplification
- compound angle expansion
Using standard derivatives in the exam
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