Find the derivative using the quotient rule $\frac{d}{dx}\left(\frac{\frac{\frac{a}{\sqrt{3}}}{\left(\sqrt{3}bx-x^2\right)^{\frac{5}{3}}}}{\sqrt[3]{\left(\sqrt{3}b+4x\right)^{2}}}\right)$
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Learn how to solve integrals of rational functions problems step by step online. Find the derivative using the quotient rule d/dx(((a/(3^1/2))/((3^1/2bx-x^2)^(5/3)))/((3^1/2b+4x)^2/3)). Simplifying. 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}}. The power of a product is equal to the product of it's factors raised to the same power.
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