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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$30\left(-5x\right)^{29}\frac{d}{dx}\left(-5x\right)$
Learn how to solve problems step by step online. Find the derivative of (-5x)^30. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a function multiplied by a constant (-5) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1. Any expression multiplied by 1 is equal to itself.