$\"\"$

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The function $\"\"$ .

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If $\"\"$ is differentiable at $\"\"$ , then it should be continuous at $\"\"$ .

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$\"\"$ is a polynomial function in the two intervals, therefore it is continuous at all points in the given intervals .

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Check for differentiability at $\"\"$ :

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Find the left hand and right hand limits of $\"\"$ at $\"\"$ .

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Left hand limit:

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$\"\"$

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Right hand limit:

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$\"\"$

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Since left and right hand limits are not equal , So $\"\"$ is discontinuous at $\"\"$ .

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Therefore, $\"\"$ is not differentiable at $\"\"$ .

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Find the derivative of the function.

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Find $\"\"$ when $\"\"$ :

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$\"\"$

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Find $\"\"$ when $\"\"$ :

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$\"\"$

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The derivative of the function $\"\"$ .

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Graph of the function $\"\"$ :

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$\"\"$

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$\"\"$

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Graph of the function $\"\"$ :

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$\"\"$

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The given function is not differentiable at $\"\"$ .

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Graph of the function $\"\"$ is

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$\"\"$

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Graph of the function $\"\"$ is

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$\"\"$ .