Final Answer
$\frac{-\frac{3}{2}}{\sqrt{x^{5}}}$
Got a different answer? Try our new Answer Assistant!
Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(x^{-1\cdot \frac{3}{2}}\right)$
Choose the solving method
1
Simplifying
$\frac{d}{dx}\left(x^{-\frac{3}{2}}\right)$
Learn how to solve power rule for derivatives problems step by step online.
$\frac{d}{dx}\left(x^{-\frac{3}{2}}\right)$
Learn how to solve power rule for derivatives problems step by step online. Find the derivative (d/dx)(x^(-3/2)) using the power rule. Simplifying. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Final Answer
$\frac{-\frac{3}{2}}{\sqrt{x^{5}}}$