Final answer to the problem
$144\csc\left(6-8x\right)^2\cot\left(6-8x\right)$
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Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of 9csc(6-8x)^2. The derivative of a function multiplied by a constant 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}. Any expression to the power of 1 is equal to that same expression. Taking the derivative of cosecant function: \frac{d}{dx}\left(\csc(x)\right)=-\csc(x)\cdot\cot(x)\cdot D_x(x).
Final answer to the problem
$144\csc\left(6-8x\right)^2\cot\left(6-8x\right)$
