Home
Class 12
MATHS
Let f: RvecR be a continuous and differe...

Let `f: RvecR` be a continuous and differentiable function such that `(f(x^2+1))^(sqrt(x))=5forAAx in (0,oo),` then the value of `(f((16+y^2)/(y^2)))^(4/(sqrt(y)))fore a c hy in (0,oo)` is equal to 5 (b) 25 (c) 125 (d) 625

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: RvecR be a continuous and differentiable function such that (f(x^2+1))^(sqrt(x))=5forAAx in (0,oo), then the value of (f((16+y^2)/(y^2)))^(4/(sqrt(y)))fore a c hy in (0,oo) is equal to (a) 5 (b) 25 (c) 125 (d) 625

Let f: RrarrR be a continuous and differentiable function such (f(x^2+1))^(sqrtx)=5 for AA x in (0 , oo) . Then the value of (f((16+y^2)/(y^2)))^(4/sqrty) for y in (0,oo) is equal to

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1) =1 , then

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

Let f: RvecR be a continuous and differentiable function such that f^(prime)(0=1 and f(x+2y)=f(x)+f(2y)+e^(x+2y)(x+2y)-2y e^(2y)+4x yAAx ,y in R , then value of f(1) is 1 (b) e (c) e+2 (d) 1-e

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