1.

For a differntiable function , define D^(**)f(x) = L t_(h to 0) (f^2(x + h) - f^2(x))/(h) where f'(x) = (f(x))^2 for example, D^(**)f(x) = 2x if f(x) = x, D^(**)f(x) = 2 sin x cos xif f(x) = sin xD^(**)f(x) = 2e^(2x) if f(x) = e^(x) If f(x) = sin x, g(x) = cos x then D^(**)(fog)

Answer»

`-SIN X sin (2 cos x)`
`-sin (cos x) SINX`
`-sin^2 (cos x) sin x`
`-sin(cos x) sin^2 x`

ANSWER :A


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