Final Answer
Step-by-step Solution
Specify the solving method
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\sqrt[3]{x^{2}}}{\sqrt[3]{4}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x/2)^2/3. 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 derivative of a function multiplied by a constant (\frac{1}{\sqrt[3]{4}}) is equal to the constant times the derivative of the function. Divide 1 by \sqrt[3]{4}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.