NIMCET 2009 Question Paper with solutions

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Question : 37 of 120

Marks: +1, -0

If

y=f(x)

is an odd and differentiable function defined on

(-∞, ∞)

such that

f^{'}(3)=-2

, then

f^{'}(-3)

equals to

4
2
-2
0

Solution:

As

f(x)

is an odd function, so we have

f(x)=-f(-x)

⇒ f(x)=f(-x)

⇒ f(3)=f(-3)=-2

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