Final answer to the problem
$\frac{e^{\arcsin\left(x\right)}}{\sqrt{1-x^2}}+\frac{-1}{\left(1+\left(\frac{1}{x}\right)^2\right)x^2}$
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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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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve integrals of rational functions problems step by step online.
$\frac{d}{dx}\left(e^{\arcsin\left(x\right)}\right)+\frac{d}{dx}\left(\arctan\left(\frac{1}{x}\right)\right)$
Learn how to solve integrals of rational functions problems step by step online. Find the derivative d/dx(e^arcsin(x)+arctan(1/x)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Applying the derivative of the exponential function. Taking the derivative of arcsine. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{e^{\arcsin\left(x\right)}}{\sqrt{1-x^2}}+\frac{-1}{\left(1+\left(\frac{1}{x}\right)^2\right)x^2}$
