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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(\cot\left(x\right)^2\right)\left(\sec\left(x\right)^2-1\right)+\cot\left(x\right)^2\frac{d}{dx}\left(\sec\left(x\right)^2-1\right)$
Learn how to solve problems step by step online. Find the derivative of cot(x)^2(sec(x)^2-1). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of cotangent. The derivative of the linear function is equal to 1.