** Final answer to the problem

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** Step-by-step Solution **

** How should I solve this problem?

- Find the derivative using the product rule
- Find the derivative using the definition
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Simplifying

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^((1*-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 to the problem

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