Q23 of 147 Page 191

If, show that

Given,


Taking logarithm both sides, we get



⇒ log y = a cos – 1x log e


⇒ log y = a cos – 1x [log e = 1]


Differentiating both sides with respect to x



⇒


Squaring both sides



⇒


Differentiating both sides


⇒


⇒


⇒


∴


Hence, proved


More from this chapter

All 147 →
19

Using mathematical induction prove that for all positive integers n.

 20

Using the fact that sin (A + B) = sin A cos B + cos A sin B and the differentiation, obtain the sum formula for cosines.

 21

Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

 22

If , prove that