If f : R - R is an even function which is twice differentiable on R and `f''(pi)=1`, then `f''(-pi)`

If f:R rarr R is a differentiable function such that f(x)>2f(x) for all x in R and f(0)=1, then

If f(x) is an even function then int_(-pi)^(pi)f(x)sinnxdx=

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: R → R be a one-one onto differentiable function, such that f(2)=1 and f^(prime)(2)=3. Then, find the value of (d/(dx)(f^(-1)(x)))_(x=1)

Let f: R → R be a one-one onto differentiable function, such that f(2)=1 and f^(prime)(2)=3. Then, find the value of (d/(dx)(f^(-1)(x)))_(x=1)