Final answer to the problem
$\frac{20x}{\sqrt[3]{5x^2+3}}$
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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
- Load more...
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1
Simplifying
$\frac{d}{dx}\left(3\sqrt[3]{\left(5x^2+3\right)^{2}}\right)$
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$\frac{d}{dx}\left(3\sqrt[3]{\left(5x^2+3\right)^{2}}\right)$
Learn how to solve problems step by step online. Find the derivative of d/dx(3(5x^2+3)^2^(1/3)). Simplifying. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiply the fraction and term in 3\cdot \left(\frac{2}{3}\right)\left(5x^2+3\right)^{-\frac{1}{3}}\frac{d}{dx}\left(5x^2+3\right).
Final answer to the problem
$\frac{20x}{\sqrt[3]{5x^2+3}}$
