Final answer to the problem
$\frac{\mathrm{cosh}\left(x\right)}{1+\mathrm{sinh}\left(x\right)^2}$
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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
Taking the derivative of arctangent
Learn how to solve inverse trigonometric functions differentiation problems step by step online.
$\frac{1}{1+\mathrm{sinh}\left(x\right)^2}\frac{d}{dx}\left(\mathrm{sinh}\left(x\right)\right)$
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the derivative of arctan(sinh(x)). Taking the derivative of arctangent. Taking the derivative of hyperbolic sine. The derivative of the linear function is equal to 1. Multiply the fraction by the term \mathrm{cosh}\left(x\right).
Final answer to the problem
$\frac{\mathrm{cosh}\left(x\right)}{1+\mathrm{sinh}\left(x\right)^2}$
