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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(x^4\right)+\frac{d}{dx}\left(x^3\right)$
Learn how to solve differential calculus problems step by step online. Simplify the expression f(x)=x^4+x^3. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values 3 and -1. Simplify the derivative.