#### Question

if `y=x^x` find `(dy)/(dx)`

#### Solution

`y=x^x`

Taking logarithms of both sides

`logy=logx^x`

`logy=xlogx`

Differentiating both sides with respect to 'x', we get

`(1/y) dy/dx=x(1/x)+logx(1)`

`dy/dx=y(1+logx)`

`dy/dx=x^x(1+logx)`

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#### APPEARS IN

Solution for question: if y=x^x find δy/δx concept: Exponential and Logarithmic Functions. For the courses CBSE (Science), HSC Science (Electronics), HSC Science (Computer Science), HSC Arts, HSC Science (General) , HSC Science (Electronics), HSC Science (Computer Science), HSC Arts, HSC Science (General)