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Given, f (x) = x when x ge 0 = - x ,...

Given, f (x) = x when `x ge 0`
`= - x , ` when `x lt 0 `

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The correct Answer is:
Therefore, f' (0) does not exist i.e., f(x) is not differntiable at x = 0 .
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. If y = f(x) = 5 , show that Delta y = 0 .

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  2. Examine the differentiability of f(x) = 2x^(2)+ 1 at x = 1 .

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  3. Given, f (x) = x when x ge 0 = - x , when x lt 0

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  4. (Find using principle the derivatives of the following functions w.r.t...

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  5. (Find using principle the derivatives of the following furctions w.r.t...

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  6. (Find using principle the derivatives of the following furctions w.r.t...

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  7. (Find using principle the derivatives of the following furctions w.r.t...

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  8. (Find using principle the derivatives of the following furctions w.r.t...

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  9. Find from the definition, the derivatives of e^(4x) at x = 0

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  10. Find from the definition, the derivatives of log 5x at x = 2

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  11. Find from the definition, the derivatives of cosec 3x at x = (pi)/...

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  12. Find from the definition, the derivatives of x^(-3/(2)) at x = 3

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  13. Find from the definition, the derivatives of sqrt(px+q)

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  14. Find from the definition, the derivatives of (px+q)/(ax+b)

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  15. Find from the definition, the derivatives of (1)/(sqrt(ax+b))

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  16. Find from the definition, the derivatives of sqrt(ax^(2)+bx+c)

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  17. Find from the definition, the derivatives of cos^(2)x

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  18. Find from the definition, the derivatives of sin(x^(2))

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  19. Find from the definition, the derivatives of tan^(-1)x

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  20. Find from the definition, the derivatives of sqrt(cotx)

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