Math, asked by kumarayush1350, 1 year ago

y=x^√x then dy/dx=? please answer fast someone

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Answered by Hareh131101
0
first take log both the sides
the the ealquation is logy= √xlogx
the apply product rule which will give you
1/y dy/dx=1/2√x×logx +1/x√x
the take LCM on RHS and bring y to rhs and substitute it with value given in the question

Hareh131101: sorry the rule i used is x^n dx = nx^n-1
kumarayush1350: ans is x^√x(2+logx)/2√x
Hareh131101: Now its correct you can see why it's like that
Hareh131101: thank you for providing such aquestion i was mistaken at first as i haven't seen the topic thoroughly since many days
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