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Derivative of $$$x^{5}$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dx} \left(x^{5}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 5$$$:
$${\color{red}\left(\frac{d}{dx} \left(x^{5}\right)\right)} = {\color{red}\left(5 x^{4}\right)}$$Thus, $$$\frac{d}{dx} \left(x^{5}\right) = 5 x^{4}$$$.
Answer
$$$\frac{d}{dx} \left(x^{5}\right) = 5 x^{4}$$$A
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