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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$5\frac{d}{dx}\left(\left(\sin\left(x\right)+\cos\left(x\right)\right)\left(\sin\left(x\right)-\cos\left(x\right)\right)\right)$
Learn how to solve classify algebraic expressions problems step by step online. Find the derivative of 5(sin(x)+cos(x))(sin(x)-cos(x)). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x\right)+\cos\left(x\right) and g=\sin\left(x\right)-\cos\left(x\right). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.