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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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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$\frac{1}{2}\left(2x^2-4\right)^{-\frac{1}{2}}\frac{d}{dx}\left(2x^2-4\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (2x^2-4)^(1/2). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Multiply the fraction and term in 2\frac{1}{2}\left(2x^2-4\right)^{-\frac{1}{2}}\frac{d}{dx}\left(x^2\right).