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If f is a real valued differentiable fun...

If f is a real valued differentiable function satisfying :
`|f(x)-f(y)|le(x-y)^(2),x,yinR` and `f(0)=0` , then `f(1)` equals :

A

0

B

`-1`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -MCQs (LEVEL-II)
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  4. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

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  6. Derivative of (log x)^(4) is

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  7. If x=e^(y+e^(y+ . . . . .. "to "oo)),xgt0, then (dy)/(dx) is :

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  8. Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...

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  9. If f is a real valued differentiable function satisfying : |f(x)-f(y...

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  10. If f(x)=||x|-1|, then it is non - derivable at :

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  11. If f:R to T is continuous and differentiable function such that f((1)/...

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  13. The set of points, where f(x)=(x)/(1+|x|) is differentiable, is :

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  14. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

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