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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dx}\left(\csc\left(x\right)^2-1\right)\sec\left(x\right)+\left(\csc\left(x\right)^2-1\right)\frac{d}{dx}\left(\sec\left(x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of (csc(x)^2-1)sec(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x). The derivative of the linear function is equal to 1. The derivative of a sum of two or more functions is the sum of the derivatives of each function.