Dx[(-6sqrt{x} +2)/x^{4} ]
You asked:
Evaluate the expression: \(D x \cdot \frac{-\left( 6 \cdot \sqrt{x} \right) + 2}{{x}^{4}}\)
MathBot Answer:
Evaluated
\(\displaystyle D x \cdot \frac{-\left( 6 \cdot \sqrt{x} \right) + 2}{{x}^{4}} = \frac{D \left(2 - 6 \sqrt{x}\right)}{x^{3}} \)
Expanded
\[D x \cdot \frac{-\left( 6 \cdot \sqrt{x} \right) + 2}{{x}^{4}} = \frac{2 D}{x^{3}} - \frac{6 D}{x^{\frac{5}{2}}}\]
Factored
\[D x \cdot \frac{-\left( 6 \cdot \sqrt{x} \right) + 2}{{x}^{4}} = - \frac{2 D \left(3 \sqrt{x} - 1\right)}{x^{3}}\]