Edexcel A-Level Mathematics AS P1.4.2 Differentiating Powers of X Questions

Practise Edexcel IAL Mathematics P1.4.2 by differentiating sums, differences, constants, roots and reciprocal powers, then use exact gradients and stationary points.

Exam points

differentiate sums of powers, roots and reciprocal terms into simplest dy/dx form
use a given gradient at x=2^k or a stationary point to solve for an exact constant

[Maximum number: 3]

\mathrm{f}(x)=10-2 x-\frac{1}{2 \sqrt{x}}-\frac{1}{x^{3}} \quad x>0

Determine $\mathrm{f}^{\prime}(x)$ .

$f^{\prime}(x)=-2+\frac{1}{4} x^{-\frac{3}{2}}+3 x^{-4}$ }

$x^{n} \rightarrow x^{n-1}$ in at least 1 term other than
10
2 of the 3 terms shown correct
All correct
(3)

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Edexcel A-Level Mathematics AS P1.4.2 Differentiating Powers of X Questions question 1