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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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$4\arctan\left(x\right)^{3}\frac{d}{dx}\left(\arctan\left(x\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(arctan(x)^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 arctangent. The derivative of the linear function is equal to 1. Multiply the fraction and term.