Question

deffarentiate plz
((5x)^sqrtx)^x

Answer 1

can u use the equation i can't mean the problem

Answer 2

\[(5x ^{\sqrt{x}})^{x}\]

Answer 3

yes lalaly

Answer 4

\[5^x \left(x^{\sqrt{x}}\right)^x \text{Log}[5]+5^x \left(x^{\sqrt{x}}\right)^x \left(x \left(\frac{1}{\sqrt{x}}+\frac{\text{Log}[x]}{2 \sqrt{x}}\right)+\text{Log}\left[x^{\sqrt{x}}\right]\right) \]

Answer 5

let y=(\[5x^\sqrt{x}\])^x
logy=\[xlog5x^\sqrt{x}\]
logy=\[x^\sqrt{x}\log5x\]

5x(xx√)xLog[5]+5x(xx√)x(x(1x√+Log[x]2x√)+Log[xx√])ans

then u=\[x^\sqrt{x}\]
logu=\[\sqrt{x}logx\]
i/u du/dx=\[\sqrt{x}/x+1/2\sqrt{x}logx\]
\[du/dx=x^\sqrt{x}\left[ \sqrt{x}/x+1/2\sqrt{xlogx} \right]\]
then put the value du/dx=\[du/dx=x^\sqrt{x}\left[ \sqrt{x}/x+1/2\sqrt{xlogx} \right]\]

Answer 6

aroub its not a simple equation here u need to use calculus