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Basic Derivatives Calculator

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 Difficult Problems

1

Here, we show you a step-by-step solved example of basic derivatives. This solution was automatically generated by our smart calculator:

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

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$5\frac{d}{dx}\left(x^6\right)$
3

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

$30x^{\left(6-1\right)}$
4

Subtract the values $6$ and $-1$

$30x^{5}$

Multiply $5$ times $6$

$30x^{5}$
5

Expand and simplify

$30x^{5}$

 Final answer to the problem

$30x^{5}$

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