#### Let , then which of the following is true?

- '/> is increasing in and decreasing in
( 0 ) = - π 2 '/>
- is not differentiable at
- is decreasing in and increasing in

#### Answer:The correct answer is: is not differentiable at

## Book A Free Demo

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### Related Questions to study

#### For all twice differentiable functios , with

#### For all twice differentiable functios , with

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The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle should be :–

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#### Let be a twice differentiable function on . If , and , for all , then

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#### An observer can see through a pin–hole the top end of a thin rod of height *h*, placed as shown in the figure. The beaker height is 3*h* and its radius *h*. When the beaker is filled with a liquid up to a height 2*h*, he can see the lower end of the rod. Then the refractive index of the liquid is

=

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=

#### A diverging beam of light from a point source *S* having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is *t* and the refractive index *n*, then the divergence angle of the emergent beam is

#### A diverging beam of light from a point source *S* having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is *t* and the refractive index *n*, then the divergence angle of the emergent beam is

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_{max}

#### A rectangular glass slab *ABCD*, of refractive index *n*_{1}, is immersed in water of refractive index A ray of light in incident at the surface *AB* of the slab as shown. The maximum value of the angle of incidence *a*_{max}, such that the ray comes out only from the other surface *CD* is given by

_{max}