Final Answer
$\frac{-3}{2\sqrt{x^{5}}}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(x^{-\frac{3}{2}}\right)$
Specify 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}. Subtract the values -\frac{3}{2} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Final Answer
$\frac{-3}{2\sqrt{x^{5}}}$