Final answer to the problem
$-12e^x\csc\left(4e^x\right)^2$
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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
The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
$3\frac{d}{dx}\left(\cot\left(4e^x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$3\frac{d}{dx}\left(\cot\left(4e^x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 3cot(4e^x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Taking the derivative of cotangent. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Applying the derivative of the exponential function.
Final answer to the problem
$-12e^x\csc\left(4e^x\right)^2$
