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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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$4\arccos\left(3x\right)^{3}\frac{d}{dx}\left(\arccos\left(3x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=arccos(3x)^4. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of arccosine. The power of a product is equal to the product of it's factors raised to the same power. The derivative of the linear function times a constant, is equal to the constant.