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) equal to-

Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on (-oo,oo) such that f'(-pi)=1. The value of |g^(-pi)| equals __________

Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on (-oo,oo) such that f(-pi)=1. The value of |g^''(-pi)| equals __________

Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on (-oo,oo) such that f'(-pi)=1. The value of g''(-pi) equals __________

Let f(x) be a non-constant twice differentiable function defined on (-oo,oo) such that f(x)=f(1-x)a n df^(prime)(1/4)=0. Then f^(prime)(x) vanishes at least twice on [0,1] f^(prime)(1/2)=0 int_(-1/2)^(1/2)f(x+1/2)sinxdx=0 int_(-1/2)^(1/2)f(t)e^(sinpit)dt=int_(1/2)^1f(1-t)e^(sinpit)dt

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

Let f(x0 be a non-constant thrice differentiable function defined on (-oo,oo) such that f(x)=f(6-x)a n df^(prime)(0)=0=f^(prime)(x)^2=f(5)dot If n is the minimum number of roots of (f^(prime)(x)^2+f^(prime)(x)f^(x)=0 in the interval [0,6], then the value of n/2 is___

If f is defined by f(x)=x^2-4x+7, show that f^(prime)(5)=2f^(prime)(7/2)

If is a real valued function defined by f(x)=x^2+4x+3, then find f^(prime)(1)a n df^(prime)(3)dot

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