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Grade: 11

                        

find dy/dx for y=a x az.....∞ It is 'a' raised to 'x' then 'a' raised to 'x' upto infinity

11 years ago

Answers : (1)

bibhash jha
15 Points
							

 

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)

11 years ago
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