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

sudhir , 8 Years ago
Grade 12
anser 4 Answers
Abhi singhal

Last Activity: 8 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

Last Activity: 8 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

Last Activity: 8 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

Last Activity: 8 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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