Final answer to the problem
$\frac{1}{2\sqrt{a}}$
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Step-by-step Solution
How should I solve this problem?
- Find the derivative
- 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
- Load more...
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1
Simplifying
$\frac{d}{da}\left(\sqrt{a\sqrt{a\frac{1}{a}}}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{da}\left(\sqrt{a\sqrt{a\frac{1}{a}}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^(1/2)(a1^(1/2)1/a)^(1/2)a^(1/2))^(1/2). Simplifying. The power of a product is equal to the product of it's factors raised to the same power. 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 to the problem
$\frac{1}{2\sqrt{a}}$
