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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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$b\frac{d}{da}\left(a\ln\left(s\left(\sec\left(x\right)+\tan\left(x\right)\right)\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of abln(s(sec(x)+tan(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=a and g=\ln\left(s\left(\sec\left(x\right)+\tan\left(x\right)\right)\right). The derivative of the linear function is equal to 1. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.