Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative
- 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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Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\left(x^{-\frac{1}{5}}\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((x^(-1/5)y^(3/2))^10)/((y^((1*-2)/5)x^2/3)^5). Simplifying. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction \frac{x^{-2}y^{15}}{y^{-2}\sqrt[3]{x^{10}}} by x. Simplify the fraction \frac{x^{-\frac{16}{3}}y^{15}}{y^{-2}} by y.