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The derivative of an odd function is :...

The derivative of an odd function is :

A

an even function

B

an odd function

C

negative

D

None of these.

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -RCQs (Questions from Karnataka CET & COMED)
  1. The derivative of an odd function is :

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  2. If the three function f(x),g(x) and h(x) are such that h(x)=f(x)g(x) a...

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  3. The drivative of e^(ax)cos bx with rexpect to x is re^(ax)cosbx+"tan"^...

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  4. If x=acos^(3)theta and y=asin^(3)theta, then (dy)/(dx)=

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  5. If y=tan^(-1)sqrt(x^(2)-1), then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)...

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  6. If sqrt(r ) =ae^(thetacotalpha) where a and alpha are real numbers the...

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  7. The derivative of "tan"^(-1)(sinx)/(1+cosx) w.r.t. "tan"^(-1)(cosx)/(1...

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  8. d/(dx)[cos^(2)(cot^(-1)sqrt((2+x)/(2-x)))]

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  9. If f(x)=((sin^(2)x)/(1+cotx))+(cos^(2)x)/(1+tan), then f'((pi)/(4)) is...

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  10. If cos^(-1)((y)/(b))=nlog((x)/(n)), then :

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  11. f(x)=2a-x in -altxlta=3x-2a in a lex. Then which of the following i...

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  12. If x+y=tan^(-1)y" and "(d^(2)y)/(dx^(2))=f(y)(dy)/(dx), then f(y)=

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  13. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

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  14. If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is :

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  15. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

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  16. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

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  17. Which of the following functions is differentiable at x=0. ?

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  18. If x=a(cost+logtant//2),y=asint, then (dy)/(dx)=

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  19. If f(x)=xtan^(-1)x, then lim(xto1)(f(x)-f(1))/(x-1)=

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  20. If f(y)=f(x^(2)+2) and f'(3)=5, then (dy)/(dx) at x=1 is :

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  21. If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2)...

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