Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- 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
- Integrate by parts
- Load more...
The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve product rule of differentiation problems step by step online.
$\frac{x^2y^3}{\sqrt{2}\sqrt{x^5}\sqrt{y^7}}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule (x^2y^3)/((2x^5y^7)^(1/2)). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{2}. Simplify \sqrt{y^7} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{2}. Simplify the fraction by x.