Last updated on Oct 23, 2026

Differentiating Powers of x (Edexcel A-Level Mathematics): Quizzes

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Differentiating Powers of

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What is the derivative of $x^n$ where $n \in \mathbb{R}$ ?

$nx^{n-1}$

Find $\frac{dy}{dx}$ when $y = x^2 + 3x$

$2x + 3$

Before differentiating $\sqrt{x}$ , it must be written as:

$x^{\frac{1}{2}}$

What is the derivative of $x^{\frac{1}{2}}$ ?

$\frac{1}{2}x^{-\frac{1}{2}}$

For $f(x) = 10x^2 + \sqrt{x}$ , find $f'(4)$

$\frac{321}{4}$

Before differentiating, expressions cannot have:

$x$ 's on the denominator

Find $\frac{dy}{dx}$ when $y = \frac{2}{5x}$

$-\frac{2}{5}x^{-2}$

The cube root $^3\sqrt{x}$ should be written as:

$x^{\frac{1}{3}}$

For $f(x) = x^{\frac{5}{3}} + x^{\frac{8}{3}}$ , find $f'(1)$

$\frac{13}{3}$

Find $\frac{dy}{dx}$ when $y = x^2 + 6x^2 + 5x^4$

$2x + 18x + 20x^3$

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Differentiation

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Implicit Differentiation

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