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find dy/dx for

y=ax az.....∞

It is 'a' raised to 'x' then 'a' raised to 'x' upto infinity

Sankalp Samuel Das , 15 Years ago
Grade 11
anser 1 Answers
bibhash jha

Last Activity: 15 Years ago

 

y=a^x^a^x .... upto inf..

=> y=a^xy

takinh log on both sides

lny=xylna

now differentiating wrt x , we get

1/y.dy/dx=xlna.dy/dx+ylna

=> dy/dx= y^2lna/(1-xylna)

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