Final answer to the problem
$\frac{1}{\frac{1}{0.5}x^{0.5}}$
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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
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1
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$0.5x^{\left(0.5-1\right)}$
Learn how to solve power rule for derivatives problems step by step online.
$0.5x^{\left(0.5-1\right)}$
Learn how to solve power rule for derivatives problems step by step online. Find the derivative d/dx(x^0.5) using the power rule. 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 0.5 and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by 0.5.
Final answer to the problem
$\frac{1}{\frac{1}{0.5}x^{0.5}}$
