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  • Given the following statements about a function <img alt="\mathrm{\mathrm{f} : R \rightarrow R}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cmathrm%7Bf%7D%20%3A%20R%20%5Crig

Given the following statements about a function \mathrm{\mathrm{f} : R \rightarrow R}, select the right option.
\mathrm{P : If\; f(x)} is continuous at \mathrm{x=x_0,} then it is also differentiable at \mathrm{x=x_0,}.
\mathrm{Q : If \; f(x)} is continuous at \mathrm{x=x_0,} then it may not be differentiable at \mathrm{x=x_0,}.
\mathrm{R : If \; f(x)} is differentiable at \mathrm{x=x_0,} then it is continuous at \mathrm{x=x_0,}

Option: 1

P is true, Q is false R is fase
 


Option: 2

P is false, Q is true, R is true


Option: 3

P is false, Q is true, R is false


Option: 4

P is true, Q is false, R is true


Answers (1)

best_answer

Continuity is the necessary condition for differentiability but it is not a sufficient condition.

Posted by

seema garhwal

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