Continuity and DifferentiabilityHard
Question
If y = f(x) is an odd differentiable function defined on (- ∞, ∞) such that f′(3) = - 2, then f′(- 3) is equal to
Options
A.4
B.2
C.- 2
D.0
Solution
f′(3) = - 2
∴ f(x) is odd diff. function
⇒ f′(x) is even diff. function
⇒ f′(- x) = f′(x) ⇒ f′(- 3) = f′(3) = - 2
∴ f(x) is odd diff. function
⇒ f′(x) is even diff. function
⇒ f′(- x) = f′(x) ⇒ f′(- 3) = f′(3) = - 2
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