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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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$6\frac{d}{dx}\left(\left(\tan\left(x\right)+\sec\left(x\right)\right)\left(\tan\left(x\right)-\sec\left(x\right)\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 6(tan(x)+sec(x))(tan(x)-sec(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=\tan\left(x\right)+\sec\left(x\right) and g=\tan\left(x\right)-\sec\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.