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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$2\left(-11\sec\left(x\right)\right)\frac{d}{dx}\left(-11\sec\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (-11sec(x))^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Multiply -22 times -11. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x).