Differentiation Question 384

Question: If $ y=ae^{x}+b{e^{-x}}+c $ where $ a,b,c $ are parameters then $ {{y}’’}’= $

[EAMCET 2002]

Options:

A) $ y $

B) $ y’ $

C) 0

D) $ y’’ $

Show Answer

Answer:

Correct Answer: B

Solution:

$ y=ae^{x}+b{e^{-x}}+c $

Therefore $ {y}’=ae^{x}-b{e^{-x}} $

Therefore $ {{y}’}’=ae^{x}+b{e^{-x}} $

Therefore $ {{{y}’}’}’=ae^{x}-b{e^{-x}}={y}’ $ .