Final answer to the problem
$\left(-\sqrt{5}\left(y^2+2xy\right)+4\left(2xy+x^2\right)\right)\left(\sqrt{5}xy^2+4x^2y\right)+\left(-\sqrt{5}xy^2+4x^2y\right)\left(\sqrt{5}\left(y^2+2xy\right)+4\left(2xy+x^2\right)\right)$
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Step-by-step Solution
How should I solve this problem?
- Find the derivative using the quotient rule
- Find the derivative using the definition
- Find the derivative using the product 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...
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1
Simplifying
$\frac{d}{dx}\left(\left(-\sqrt{5}xy^2+4x^2y\right)\left(\sqrt{5}xy^2+4x^2y\right)\right)$
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$\frac{d}{dx}\left(\left(-\sqrt{5}xy^2+4x^2y\right)\left(\sqrt{5}xy^2+4x^2y\right)\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule (-5^1/2xy^2+4x^2y)(5^1/2xy^2+4x^2y). Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Final answer to the problem
$\left(-\sqrt{5}\left(y^2+2xy\right)+4\left(2xy+x^2\right)\right)\left(\sqrt{5}xy^2+4x^2y\right)+\left(-\sqrt{5}xy^2+4x^2y\right)\left(\sqrt{5}\left(y^2+2xy\right)+4\left(2xy+x^2\right)\right)$