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 $f=x^2$ and $g=\mathrm{arccsc}\left(\sqrt{x}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x^2\right)\mathrm{arccsc}\left(\sqrt{x}\right)+x^2\frac{d}{dx}\left(\mathrm{arccsc}\left(\sqrt{x}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^2arccsc(x^(1/2)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=\mathrm{arccsc}\left(\sqrt{x}\right). 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 arccosecant. Cancel exponents \frac{1}{2} and 2.