jee king diff3

Question

pls giv detailed soln with graph for the following:

C) f(x)=mod sine inverse x is R) Differentiable in (0,1)

D) f(x) = mod cos inverse (x-1/2) is S) not differentiable at least at one point in (-1,1)

T) not continuous at least at one point in(-1,1)

Jitender Singh · Accepted Answer

Ans: This is the graph of sin-1x. For |sin-1x|, the portion from -1 to 0 will be above y- axis & symmetric to other portion. So, it is clear from the graph that f(x) is continuous in (0, 1) & the curve is smooth. So f(x) is differentiable in (0, 1). This is the graph of |cos-1x|. For |cos-1(x-1/2)|, domain would be So, in the interval(-1, -1/2) the graph is not continuous & not differentiable. Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty

Differential Calculus> jee king diff3...

pls giv detailed soln with graph for the following:

C) f(x)=mod sine inverse x is R) Differentiable in (0,1)

D) f(x) = mod cos inverse (x-1/2) is S) not differentiable at least at one point in (-1,1)

T) not continuous at least at one point in(-1,1)

jee king king , 16 Years ago

Jitender Singh

LIVE ONLINE CLASSES

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Differential Calculus> jee king diff3...

pls giv detailed soln with graph for the following: C) f(x)=mod sine inverse x is R) Differentiable in (0,1) D) f(x) = mod cos inverse (x-1/2) is S) not differentiable at least at one point in (-1,1) T) not continuous at least at one point in(-1,1)

jee king king , 16 Years ago

Jitender Singh

LIVE ONLINE CLASSES

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

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pls giv detailed soln with graph for the following:

C) f(x)=mod sine inverse x is R) Differentiable in (0,1)

D) f(x) = mod cos inverse (x-1/2) is S) not differentiable at least at one point in (-1,1)

T) not continuous at least at one point in(-1,1)

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.