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if f(x)={1-x^2, x -1},then the derivative of f(x) at x= -1 is

if f(x)={1-x^2, x< or = -1 and 2x+2 , x>-1},then the derivative of  f(x) at x= -1 is

Grade:12

1 Answers

Sanjeev Malik IIT BHU
101 Points
9 years ago

LHL of f(x) = 0; RHL of f(x) = 0    so, f(x) is continous

now,

f'(x)=  -2x   for x<=-1

           2     for  x>-1

left hand derivative at x= -1 is 2 and right hand derivative is =2

so, LHD=RHD

so f'(x=-1) is = 2.

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