# Basic Derivatives Calculator

## Get detailed solutions to your math problems with our Basic Derivatives step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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### Difficult Problems

1

Solved example of basic derivatives

$\frac{d}{dx}\left(5x^6\right)$
2

The derivative of a function multiplied by a constant ($5$) is equal to the constant times the derivative of the function

$5\frac{d}{dx}\left(x^6\right)$

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

$5\cdot 6x^{\left(6-1\right)}$

Subtract the values $6$ and $-1$

$30x^{5}$
3

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

$30x^{5}$

$30x^{5}$