Math, asked by sagnik96, 1 year ago

find dy/dx when y=x*x

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Answered by keerthi23
0
x*x^x-1
* refers to multiplication

keerthi23: ^ raised to symbol
Anonymous: wrong
Anonymous: its not variable to power constant...its variable to power variable
keerthi23: oh yeah..
keerthi23: k got it
Answered by Anonymous
1
# follow me
y = {x}^{x} \\ so \: takig \: lo g \: both \: sides \\ logy = log {x}^{x} \\ logy = xlogx \\ diffrentiate \: wrt \: x \: \: \\ \frac{1}{y} \ \frac{dy}{dx} = x \times \frac{1}{x} + logx \\ \frac{dy}{dx} = y(1 + logx) \\ but \: we \: know \: y = {x}^{x} \\ so \: \frac{dy}{dx } = {x}^{x} (1 + logx)
hope it will help u
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