differentiatey = √x(5x² - 3x + 4)
You asked:
Find the derivative of the function \(y = \sqrt{x \cdot \left(5 \cdot {x}^{2} - 3 x + 4\right)}\) with respect to \(x\).
MathBot Answer:
\[\frac{d y}{d x} = \frac{\sqrt{x \left(5 x^{2} - 3 x + 4\right)} \left(\frac{5 x^{2}}{2} + \frac{x \left(10 x - 3\right)}{2} - \frac{3 x}{2} + 2\right)}{x \left(5 x^{2} - 3 x + 4\right)}\]