find-the-derivative-of-the-function-y2x3x2yleft2xright3sqrtx-2

Question

Find the derivative of the function $y = {(2 x)}^{3 \sqrt{x - 2}}$ .

Accepted Answer

${(2 x)}^{3 \sqrt{x - 2}} (\frac{3 \ln 2 x}{2 \sqrt{x - 2}} + \frac{3 \sqrt{x - 2}}{x})$

Answer

${(2 x)}^{3 \sqrt{x - 2}} (\frac{3 \ln 2 x}{2 \sqrt{x - 2}} + \frac{3 \sqrt{x - 2}}{x})$

Answer

${(2 x)}^{3 \sqrt{x - 2}} (\frac{3 \ln 2 x}{2 \sqrt{x - 2}} + \frac{3 \sqrt{x - 2}}{x})$

Answer

${(2 x)}^{3 \sqrt{x - 2}} (\frac{3 \ln 2 x}{2 \sqrt{x - 2}} + \frac{3 \sqrt{x - 2}}{x})$

Find the derivative of the function y=(2x)3x−2y=\left(2x\right)^{3\sqrt{x-2}}.