Let `y = f(x)` be a differentiable function `AA x in R.` Then which one of the following is always true

Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R. Then which of the following is correct regarding f:

If f: R rightarrow R, f(x) is a differentiable bijective function , then which of the following may be true?

Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R. Then

Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in R If f(x) is differentiable at x=0. then, which one of the following is incorrect?

If y= f (x) is differentiable AA x in R, then

If y= f (x) is differentiable AA x in R, then

If f(x)=int_(0)^(x)(e^(t)+3)dt , then which of the following is always true AA x in R

Let f: R to R be a function defined by : f(x)="Min".{x+1,|x|+1} . Then which of the following is true ?