TS EAMCET · Maths · Continuity and Differentiability
If the function \(f: R \rightarrow R\), defined by \(f(x)=\left\{\begin{array}{l}5-3 x, \text { if } x \leq \frac{5}{3} \ x^2-3 x+20, \text { if } x>\frac{5}{3}\end{array}\right.\), then ' \(f\) ' is
- A continuous at \(x=\frac{5}{3}\)
- B differentiable at \(x=\frac{5}{3}\)
- C differentiable at \(x=2\)
- D discontinuous at \(x=-2\)
Answer & Solution
Correct Answer
(C) differentiable at \(x=2\)
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