Final answer to the problem
$\frac{-2\mathrm{sech}\left(2x\right)^2}{\sqrt{1-\mathrm{tanh}\left(2x\right)^2}}$
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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
Taking the derivative of arccosine
Learn how to solve inverse trigonometric functions differentiation problems step by step online.
$\frac{-1}{\sqrt{1-\mathrm{tanh}\left(2x\right)^2}}\frac{d}{dx}\left(\mathrm{tanh}\left(2x\right)\right)$
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the derivative of arccos(tanh(2x)). Taking the derivative of arccosine. Taking the derivative of hyperbolic tangent. 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
$\frac{-2\mathrm{sech}\left(2x\right)^2}{\sqrt{1-\mathrm{tanh}\left(2x\right)^2}}$
