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If y= log (x + sqrt(x^(2) + a^(2))) the...

If `y= log (x + sqrt(x^(2) + a^(2)))` then `(dy)/(dx)`= ………

A

(a) `sqrt(x^(2) + a^(2))`

B

(b) `(1)/(sqrt(x^(2) + a^(2)))`

C

(c) `x^(2) + a^(2)`

D

(d) `(1)/(x^(2) + a^(2))`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
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  2. If y= log(10) sin x then (dy)/(dx) = ……..

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  3. y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx)=………

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  4. f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 = a "sgn" (x+1) cos (2x-2) + bx^(2...

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  11. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

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  16. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

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  20. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

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