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The power of a product is equal to the product of it's factors raised to the same power

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(121\sec\left(x\right)^2\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of (-11sec(x))^2. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant (121) is equal to the constant times the derivative of the function. 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 secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x).

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