Mahtab Leghari

# Budget: \$15

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The derivative of f(x) = x|x| at x = 0 a. is 0 b. does not exist, because the left and right hand limits do not agree c. does not exist, because |x| is not differentiable at x 0 d. does not exist, because f is defined piecewiseThe derivative of f(x) = x|x| at x = 0 a. is 0 b. does not exist, because the left and right hand limits do not agree c. does not exist, because |x| is not differentiable at x 0 d. does not exist, because f is defined piecewiseThe derivative of f(x) = x|x| at x = 0 a. is 0 b. does not exist, because the left and right hand limits do not agree c. does not exist, because |x| is not differentiable at x 0 d. does not exist, because f is defined piecewise

### Answer

Tutor Gautham Shiyakino

Ans: A. Use the limit definition of derivative; f'(0) = 0...

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