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f’(3)=-2 is an odd differentiable function what is f’(-3)

f’(3)=-2 is an odd differentiable function what is f’(-3)

Grade:12

4 Answers

Abhi singhal
39 Points
4 years ago
f(3) is an even function  it is such that when we differentiate any odd function it becomes even and when we differentiate any even fuction it becomes odd
Vikas TU
14149 Points
4 years ago
Dear Student,
By definition of derivative,
f'(-3) = h->0 (f(-3)-f(-3-h))/h
f'(-3) = (-f(3)+f(3+h))/h = f'(3) = 2 [as f is odd func]
 
so, f'(-3) = 2 [ans]
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
sudhir
12 Points
4 years ago
f(-3) is an odd function therefore its derivative will be evem function resulting in same ans ...=-2 f(-3)=2 …..f’(3)= -2
Arun
25763 Points
4 years ago
as we know
f'(-3) = h->0 (f(-3)-f(-3-h))/h
f'(-3) = (-f(3)+f(3+h))/h = f'(3) = 2 (bcoz f is an odd function)
 
so, f'(-3) = 2
hope it helps

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