pls help me ,I couldnt solve these

q1: if y=e^{x+e^x+e^x+...........∞},then dy/dx equals

q2:if x=at² and y=2at then (xy*d²y/dx²⁾ is equal to

thank u

Question

pls help me ,I couldnt solve these q1: if y=e x+e^x+e^x+...........&infin; ,then dy/dx equals q2:if x=at 2 and y=2at then (xy*d 2 y/dx 2) is equal to thank u

AKASH GOYAL AskiitiansExpert-IITD · Answer

Dear Rishabh

I think there is some mistake in question 1

confirm the qustion and try to do it by taking log

question2

dy/dx= (dy/dt)/(dx/dt)

dy/dt=2a

dx/dt=2at

dy/dx=1/t

d²y/dx²= d/dx(dy/dx)

use chain rule

d²y/dx²= d/dt(dy/dx)*dt/dx

=d/dt(1/t)*1/2at

=-(1/t²)*1/2at

=-1/2at³

xyd²y/dx²=at²*2at*(-1/2at³)= -a

All the best.

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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vikas askiitian expert · Answer

1) y=e x+e^x+e^x+...........&infin; Y =e x+y dy/dx = e x+y (1+dy/dx) dy/dx = (e x+y /1-e x+y ) 2) x=at 2 ...........1 y=2at ..............2 x/y = t/2 .........3 put t in eq 2 y = 4ax/y y 2 = 4ax now differentiating above eq 2ydy/dx = 4a .............1 again differentiating 2[(dy/dx) 2 +yd 2 y/dx 2 ] = 0 d 2 y/dx 2 = -(dy/dx) 2 /y ..........2 multiply above eq by xy (d 2 y/dx 2 )xy = -x(dy/dx) 2 =-x(2a/y) 2 (from eq 1) approve if u like my ans

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pls help me ,I couldnt solve these q1: if y=e x+e^x+e^x+...........∞ ,then dy/dx equals q2:if x=at 2 and y=2at then (xy*d 2 y/dx 2) is equal to thank u

pls help me ,I couldnt solve these

q1: if y=e^{x+e^x+e^x+...........∞},then dy/dx equals

q2:if x=at² and y=2at then (xy*d²y/dx²⁾ is equal to

thank u

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pls help me ,I couldnt solve these q1: if y=e x+e^x+e^x+...........∞ ,then dy/dx equals q2:if x=at 2 and y=2at then (xy*d 2 y/dx 2) is equal to thank u

pls help me ,I couldnt solve these q1: if y=ex+e^x+e^x+...........∞,then dy/dx equals q2:if x=at2 and y=2at then (xy*d2y/dx2) is equal to thank u

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pls help me ,I couldnt solve these

q1: if y=e^{x+e^x+e^x+...........∞},then dy/dx equals

q2:if x=at² and y=2at then (xy*d²y/dx²⁾ is equal to

thank u