Test:43 QNo:10

find dy/dx at x=e, y=e2x/logx

4 Answers

1
sumit_kumar ·

Q10 find dy/dx at x=e, y=e2x/logx

a) (e-1)e2e/e
b) o
c) 1
d) (e2-1)e2e/e

Correct Answer: (a)

1
sumit_kumar ·

plz someone show the working

1
Maths Musing ·

Given y log x = e2x

so y . [ d/dx { log x } ] + log x . [ d/dx { y } ] = d/dx { e2x }

or , y / x + dy /dx { log x} = 2 e2x

or , after simplification , dy / dx = 2 e2x - { y / x }log x

So dy / dx at x = e ,

is 2 e2e - e2e - 11 or , ( 2e - 1 ) e2ee

I really think the answer's wrong :( :( :(

1
sumit_kumar ·

yeah even i m getting this ans

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