Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^{\arcsin\left(x\right)}$ and $g=\mathrm{cosh}\left(x\right)^3$
Learn how to solve integrals of rational functions problems step by step online.
$\frac{d}{dx}\left(x^{\arcsin\left(x\right)}\right)\mathrm{cosh}\left(x\right)^3+x^{\arcsin\left(x\right)}\frac{d}{dx}\left(\mathrm{cosh}\left(x\right)^3\right)$
Learn how to solve integrals of rational functions problems step by step online. Find the derivative of x^arcsin(x)cosh(x)^3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^{\arcsin\left(x\right)} and g=\mathrm{cosh}\left(x\right)^3. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of hyperbolic cosine. The derivative of the linear function is equal to 1.