Grade 11Differential Calculus
find dy/dx for
y=ax az.....∞
It is 'a' raised to 'x' then 'a' raised to 'x' upto infinity
find dy/dx for
y=ax az.....∞
It is 'a' raised to 'x' then 'a' raised to 'x' upto infinity
1 Answer
bibhash jha
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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