JEE MAINS 2018 Let `f:""(1,""1)vecR` be a differentiable function with `f(0)""=""1""a n d""f'...

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JEE MAINS 2018 JEE MAINS 2018 Let `f:(-1,1)vecR` be a differentiable function with `f(0)=-1` and... JEE MAINS 2018 JEE MAINS 2018 Let `f:(-1,1)vecR` be a differentiable function with `f(0)=-1` and...
For all twice differentiable functions f:R-R with f(0) = f(1)=f For all twice differentiable functions f:R-R with f(0) = f(1)=f'(0)=0
Let f: R-R be a differentiable function with f(0)=0. If y=f(x) satisfies the D.E. dy/dx=(2+5y)(5y-2) Let f: R-R be a differentiable function with f(0)=0. If y=f(x) satisfies the D.E. dy/dx=(2+5y)(5y-2)
let `f:R- gtR` be a continuous function defined by `f(x)=1/(e^x+2e^-x)` let `f:R- gtR` be a continuous function defined by `f(x)=1/(e^x+2e^-x)`
Let f(x) be a polynomial function of second degree. If f(-1)=f(1) and a,b,c are in A.P. then f Let f(x) be a polynomial function of second degree. If f(-1)=f(1) and a,b,c are in A.P. then f'(a),
Find the function f(x) + f(1/x) where f(x) is integral of lnt / (1 + t) between the limits 1 and x. Find the function f(x) + f(1/x) where f(x) is integral of lnt / (1 + t) between the limits 1 and x.
Let `f(x)` be a strictly increasing and differentiable function, then `lim_(x- gt0)(f(x^2)-f(x... Let `f(x)` be a strictly increasing and differentiable function, then `lim_(x- gt0)(f(x^2)-f(x...
Let `f:[-1,oo]vec[-1,)` is given by `f(x)=(x+1)^2-1,xgeq-1.` Show that `f` is invertible. Also, ... Let `f:[-1,oo]vec[-1,)` is given by `f(x)=(x+1)^2-1,xgeq-1.` Show that `f` is invertible. Also, ...