dis one too.....hw do we do itt......

F(x) is defined for x≥0 and has continuous derivative.....de function satisfies the following conditions f(0)=1 ; f'(0)=0 ; [f"(x)][1+f(x)]=1+x.....nw de question is what are de values dt f(1) cant take among de following options
A] 2.0
B] 1.75
C] 1.5
D] 1.35
E]none
Continuous derivative can have 2 meanings.....maybe de question says f'(x) is continuous in its domain ie derivative is continuous [ or ] der r continuous derivatives as in de sense f',f"...etc exist......de question given to me ws diss and i dnt have any ideaaa regarding hw to solve itt

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$