Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(x^{-1\cdot \frac{3}{2}}\right)$
Learn how to solve problems step by step online.
$\frac{1}{\sqrt{x^{3}}}=y$
Learn how to solve problems step by step online. Find the derivative (d/dx)(x^(-3/2)) using the power rule. Rearrange the equation. Take the reciprocal of both sides of the equation. Removing the variable's exponent. 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}.
Final Answer
$x=\frac{1}{\sqrt[3]{y^{2}}}$