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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\csc\left(x\right)\right)\left(\sin\left(x\right)+\cos\left(x\right)\right)+\csc\left(x\right)\frac{d}{dx}\left(\sin\left(x\right)+\cos\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of csc(x)(sin(x)+cos(x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. Taking the derivative of cosecant function: \frac{d}{dx}\left(\csc(x)\right)=-\csc(x)\cdot\cot(x)\cdot D_x(x). Simplify the product -(\sin\left(x\right)+\cos\left(x\right)). The derivative of the linear function is equal to 1.