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
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(-5x^3\sqrt[3]{\frac{27x^{122}y^{-3}}{125}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of -5x^3((27xy^3)/(125x^(-121)y^6))^1/3. Simplifying. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction -5x^3\left(\frac{3\sqrt[3]{x^{122}}y^{-1}}{5}\right).