`f : R -> R` is one-one, onto and differentiable and graph of y = f (x) is symmetrical about the point (4, 0), then

If graph of y=f(x) is symmetrical about the point (5,0) and f'(7)=3, then the value of f'(3) is

If f: R to R is an invertible functions such that f(x) and f^(-1) (x) are symmetric about the line y = -x , then

If graph of y = f(x) is symmetric about the point (5,0) and f'(7) = 3 , then the value of f'(3) is ..........

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)

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

If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x)=2ax +sin2x, then the set of values of a for which f(x) is one-one and onto is