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
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$\frac{d}{dx}\left(4x\sqrt{x^3y^7}+3xy^2\sqrt{x^3y^3}-7y\sqrt{x^5y^5}+\frac{x\sqrt{25x^3y^9}}{y}\right)$
Learn how to solve problems step by step online. Find the derivative of 4x(x^3y^7)^1/2+3xy^2(x^3y^3)^1/2-7y(x^5y^5)^1/2x/y(25x^3y^9)^1/2. Simplifying. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base you can add the exponents: 5x\sqrt{x^{3}}\sqrt{y^{9}}. Simplify the fraction \frac{5\sqrt{x^{5}}\sqrt{y^{9}}}{y} by y.