Final answer to the problem
$-4\csc\left(12x\right)^2$
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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
Simplify the derivative by applying the properties of logarithms
Learn how to solve basic differentiation rules problems step by step online.
$\frac{d}{dx}\left(\frac{\cot\left(12x\right)}{3}\right)$
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of 1/3cot(12x). Simplify the derivative by applying the properties of logarithms. The derivative of a function multiplied by a constant (\frac{1}{3}) is equal to the constant times the derivative of the function. Taking the derivative of cotangent. Multiply the fraction and term in -\left(\frac{1}{3}\right)\frac{d}{dx}\left(12x\right)\csc\left(12x\right)^2.
Final answer to the problem
$-4\csc\left(12x\right)^2$
