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Step-by-step Solution

Find the derivative $\frac{d}{dx}\left(x^2\right)$ using the power rule

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Solution

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Final Answer

$2x$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(x^2\right)$

Choose the solving method

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$2x$

Final Answer

$2x$

Similar Problems

Find the derivative

$\frac{d}{dx}\left(x^{-1\cdot \frac{3}{2}}\right)$

Find the derivative

$\frac{d}{dx}\left(\sqrt{x}\right)$

Find the derivative

$\frac{d}{dx}\sqrt{x}$

Find the derivative

$\frac{d}{dy}\left(y^{\left(-1\right)\cdot\frac{1}{2}}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\frac{1}{2}}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\frac{1}{4}}\right)$

Compute the integral

$\int x\cdot\cos\left(x\right)dx$
$\frac{d}{dx}\left(x^2\right)$

Main topic:

Power rule

Related Formulas:

1. See formulas

Time to solve it:

~ 0.02 s (SnapXam)

Related topics:

Power ruleDifferential CalculusBasic Differentiation RulesBasic DerivativesCalculus

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