HSC Science (General) 12th Board ExamMaharashtra State Board
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Solution - if y=x^x find  δy/δx - HSC Science (General) 12th Board Exam - Mathematics and Statistics

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)`

Is there an error in this question or solution?

APPEARS IN

 2015-2016 (March) (with solutions)
Question 4.2.1 | 2 marks

Reference Material

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