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Let the derivative of f(x) be defined as...

Let the derivative of `f(x)` be defined as `D^(**)f(x)=lim_(hrarr0)(f^(2)(x+h)-f^(2)(x))/(h),` where `f^(2)(x)={f(x)}^(2)`.
If `u=f(x),v=g(x)`, then the value of `D^(**)(u.v)` is

A

(a)`(D^(**)u)v+(D^(**)v)u`

B

(b)`u^(2)(D^(**)v)+v^(2)(D^(**)u)`

C

(c)`D^(**)u+D^(**)v`

D

(d)`uvD^(**)(u+v)`

Text Solution

Verified by Experts

The correct Answer is:
B
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