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Find the derivatives from the left and from the right at x=1 (if they exist) of the following functions. Are the functions differentiable at x=1?
`f(x)={{:(x",", x le 1), (x^(2)",", x gt 1):}`

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PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -SOLUTION TO EXERCISE 10.1
  1. Find the derivatives of the following functions using first principle....

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  2. Find the derivatives of the following functions using first principle....

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  3. Find the derivatives of the following functions using first principle....

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  4. Find the derivatives from the left and from the right at x=1 (if they ...

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  5. Find the derivatives from the left and from the right at x=1 (if they ...

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  6. Find the derivatives from the left and from the right at x=1 (if they ...

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  7. Determine whether the following function is differentiable at the indi...

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  8. Determine whether the following function is differentiable at the indi...

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  9. Determine whether the following function is differentiable at the indi...

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  10. Determine whether the following function is differentiable at the indi...

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  11. Show that the following functions are not differentiable at the indica...

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  12. Show that the following functions are not differentiable at the indica...

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  13. The graph of f is shown below.State with reasons that x values (the nu...

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  14. If f(x)= |x+100| + x^(2), test whether f^()(-100) exist.

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  15. Examine the differentiability of functions in R by drawing the diagram...

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  16. Examine the differentiability of functions in R by drawing the diagram...

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