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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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$\frac{d}{dx}\left(\left(3\sin\left(x\right)+2\cos\left(x\right)\right)^2\right)+\frac{d}{dx}\left(\left(2\sin\left(x\right)-3\cos\left(x\right)\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of a=(3sin(x)+2cos(x))^2+(2sin(x)-3cos(x))^2. 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}. 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 sum of two or more functions is the sum of the derivatives of each function.