x 5x+6 Is it differentiable Is f(x) = x2 differentiable at

Chapter 4, Problem 69AE

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QUESTION:

Is it differentiable? Is \(f(x)=\frac{x^2-5x+6}{x-2}\) differentiable at x = 2? Justify your answer.

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QUESTION:

Is it differentiable? Is \(f(x)=\frac{x^2-5x+6}{x-2}\) differentiable at x = 2? Justify your answer.

ANSWER:

SOLUTION STEP 1 2 (x3)(x2) Given f(x) = x 5x+6= = x 3 x2 x2 STEP 2 We need to find whether f(x)=x-3 is differentiable at x=2. For that ,we consider the left and right hand derivatives of

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