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A function f satisfies the condition f(x...

A function `f` satisfies the condition `f(x)=f^(prime)(x)+f''(x)+f'''(x)....+infinity ,w h e r ef(x)` is a differentiable function indefinitely and dash denotes the order of derivative. If `f(0)=1,t h e nf(x)` is `e^(x/2)` (b) `e^x` (c) `e^(2x)` (d) `e^(4x)`

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  18. Find (dy)/(dx) for y=tan^(-1){(1-cosx)/(sinx)},-piltxltpi.

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