Final answer to the problem
Step-by-step Solution
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- Solve for x
- Solve for y
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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Factor the polynomial $2xy^3-x^2y$ by it's greatest common factor (GCF): $xy$
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$xy\left(2y^2-x\right)=y^{\left(2-3x\ln\left(x\right)\tan\left(\sin\left(2xy\right)\right)\right)}$
Learn how to solve problems step by step online. Solve the logarithmic equation 2xy^3-x^2y=y^(2-3xln(x)tan(sin(2xy))). Factor the polynomial 2xy^3-x^2y by it's greatest common factor (GCF): xy. Grouping all terms to the left side of the equation. Multiply the single term xy by each term of the polynomial \left(2y^2-x\right). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.