Final answer to the problem
$-162\csc\left(18x\right)\cot\left(18x\right)$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
$9\frac{d}{dx}\left(\csc\left(18x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$9\frac{d}{dx}\left(\csc\left(18x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 9csc(18x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Taking the derivative of cosecant function: \frac{d}{dx}\left(\csc(x)\right)=-\csc(x)\cdot\cot(x)\cdot D_x(x). The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$-162\csc\left(18x\right)\cot\left(18x\right)$
