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Here we provide thousands of Question and their ANSWERS. Our question is helpful in ECAT, UPSC(IAS/IPS/IFS), ESE, EES, NTS FSc, BSc and all kinds of MATH/IQ TESTS.

Give the function whose 2nd derivative is equal to function itself ...?

____________________________________

Answer
    sinh x, cosh x  both
Explanation
First take sinh x  
                              d
First derivative of sinh x = --- sinh x = cosh x
                             dx
                              d
Second derivative sinh x   = --- cosh x = sin h x
                              dx

Therefore second derivative of sinh x is sinh x (itself).

Now take cosh x
                               d
First derivative of cosh x  = --- cosh x = sinh x
                              dx
                               d
Second derivative cosh x    = --- sinh x = cosh x
                              dx

Therefore second derivative of cosh x is cosh x (itself).

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