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The derivative of a function multiplied by a constant ($6$) is equal to the constant times the derivative of the function
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$6\frac{d}{dx}\left(\left(\sec\left(x\right)^2+\tan\left(x\right)\sec\left(x\right)\right)\left(\sec\left(x\right)+\tan\left(x\right)\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 6(sec(x)^2+tan(x)sec(x))(sec(x)+tan(x)). The derivative of a function multiplied by a constant (6) 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=\sec\left(x\right)^2+\tan\left(x\right)\sec\left(x\right) and g=\sec\left(x\right)+\tan\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.