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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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$\frac{d}{dx}\left(\sin\left(x\right)\right)+\frac{d}{dx}\left(-\cos\left(x\right)\tan\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of sin(x)-cos(x)tan(x). 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. Simplify the product -(\frac{d}{dx}\left(\cos\left(x\right)\right)\tan\left(x\right)+\cos\left(x\right)\frac{d}{dx}\left(\tan\left(x\right)\right)).