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$\frac{d}{dx}\left(\left(2\sin\left(x\right)-3\cos\left(x\right)\right)^3\right)$
Learn how to solve problems step by step online. Find the derivative of d/dx((2sin(x)+1*-3cos(x))^3). Simplifying. 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. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.