Final answer to the problem
$\frac{3x-6}{\sqrt{3x^2-12x+12}}$
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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
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1
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$\frac{1}{2}\left(3x^2-12x+12\right)^{-\frac{1}{2}}\frac{d}{dx}\left(3x^2-12x+12\right)$
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$\frac{1}{2}\left(3x^2-12x+12\right)^{-\frac{1}{2}}\frac{d}{dx}\left(3x^2-12x+12\right)$
Learn how to solve problems step by step online. Find the derivative of (3x^2-12x+12)^(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 the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{3x-6}{\sqrt{3x^2-12x+12}}$
