Final answer to the problem
$\frac{1}{2\sqrt{x}}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- 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
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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\sqrt{x}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x^(1/2)+y^(1/2)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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. Multiplying fractions \frac{1}{2} \times \frac{1}{\sqrt{x}}.
Final answer to the problem
$\frac{1}{2\sqrt{x}}$
