If `y=f(x)` is an odd differentiable function defined on `(-oo,oo)` such that `f^(prime)(3)=-2,t h e n|f^(prime)(-3)|` equals_________.

If y=f(x) is an odd differentiable function defined on (-oo,oo) such that f'(3)=-2 then f'(-3) equals -

Let f(x) be a non-constant twice differentiable function defined on (oo,oo) such that f(x)=f(1-x) and f'(1/4)=0^(@). Then

Let f(x) be a non-constant thrice differential function defined on (-oo,oo) such that f((x+13)/(2))=f((3-x)/(2)) and f'(0)=f'((1)/(2))=f'(3)=f'((9)/(2))=0 then the minimum number of zeros of h(x)=(f'(x))^(2)+f'(x)f''(x) in the interval [0,9] is 2k then k is equal to

If f: RvecR is a differentiable function such that f^(prime)(x)>2f(x)fora l lxRa n df(0)=1,t h e n : f(x) is decreasing in (0,oo) f^(prime)(x) e^(2x)in(0,oo)

Let f(x y)=f(x)f(y)\ AA\ x ,\ y in R and f is differentiable at x=1 such that f^(prime)(1)=1 also f(1)!=0 , f(2)=3 , then find f^(prime)(2) .