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Limits Continuity and Differentiability question

2009 · Shift 0 · Q37

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2009 · Shift 0 · Q37

Limits Continuity and Differentiability question

2009 · Shift 0 · Q37

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f\left( x \right) = x\left| x \right|

and

g\left( x \right) = \sin x.

Statement-1: gof is differentiable at

x=0

and its derivative is continuous at that point. Statement-2: gof is twice differentiable at

x=0

.

A
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is false
C
Statement-1 is false, Statement-2 is true
D
Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1

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