Final answer to the problem
$\frac{a^{3}\left(\frac{4}{3}b-\frac{1}{3}a\right)}{b^2}$
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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
$\frac{d}{db}\left(\frac{\frac{1}{3}a^{4}}{b}\right)$
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$\frac{d}{db}\left(\frac{\frac{1}{3}a^{4}}{b}\right)$
Learn how to solve problems step by step online. Find the derivative of (2a^5b^2)/(6ab^3). Simplifying. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Multiply the fraction and term in - \left(\frac{1}{3}\right)a^{4}\frac{d}{db}\left(b\right). The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{a^{3}\left(\frac{4}{3}b-\frac{1}{3}a\right)}{b^2}$
