Final Answer
$242\sec\left(x\right)^2\tan\left(x\right)$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\left(11\left(-1\right)\cdot\sec\left(x\right)\right)^2\right)$
Specify the solving method
1
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$-22\sec\left(x\right)\frac{d}{dx}\left(-11\sec\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$-22\sec\left(x\right)\frac{d}{dx}\left(-11\sec\left(x\right)\right)$
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 (-11) is equal to the constant times the derivative of the function. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x).
Final Answer
$242\sec\left(x\right)^2\tan\left(x\right)$