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If f(x) =x^4 tan(x^3)-x1n(1+x^2) , then ...

If `f(x) =x^4 tan(x^3)-x1n(1+x^2)` , then the value of `(d^4(f(x)))/(dx^4)` at x = 0 is

A

0

B

6

C

12

D

24

Text Solution

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A
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AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))(Straight Objective Typee Questions)
  1. If y^2 = p(x) , a polyomial of degree 3 , then 2(d)/(dx)(y^3(d^2y)/(dx...

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  2. Let f be function defined for every x , such that f^(11) = -f ,f(0) = ...

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  3. If sintheta sin(2alpha+theta)sin(4alpha + theta)...sin(2(n-1)alpha+the...

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  4. If y=2+|x| -|x| -|x-1|-|x+1| , then y'(-1/2)+y'(3/2) +y'(5/2)=

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  5. Suppose that function f(x) - f(2x) has the derivative 5 at x = 1 and ...

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  6. A function f satisfies the condition f(x) - f'(x) +f'(x) + f''(x) + .....

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  7. If f(x) = 2 sin^(-1)sqrt(1-x) +sin^(-1)(2-sqrt(x(1-x)) where x in (0,(...

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  8. Let f(x) = x + sinx. Suppose g denotes the inverse function of f, then...

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  9. If lim(t rarrx)(e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^2)=2 and f(0) =1/2 ,...

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  10. A function f: R rarr R satisfies sin x cosy (f(2x2y))-f(2x-2y))= cosxs...

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  11. If R=([1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2)), then R^(2/3) can be pu...

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  12. Let (f(x+y)-f(x))/2 = (f(y)-a)/2+xy for all real x and y . If f(x) is ...

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  13. If y = cos^(-1)""(9-x^2)/(9+x^2) then y^(1)(-1) is equal to

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  14. If t=(2sqrt2-(1+sqrt3))/(sqrt3-1) and f(x)=(2x)/(1-x^2),g(x)=(3x-x^3)/...

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  15. Let y = ln (1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y//2) eq...

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  16. If y = log ((x)/(a+bx)) , then x^3 (d^2y)/(dx^2)=

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  17. If f(x) =x^4 tan(x^3)-x1n(1+x^2) , then the value of (d^4(f(x)))/(dx^4...

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  18. If x = sec theta - cos theta and y = sec^(n) theta - cos^(n) theta the...

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  19. Let a function y = y (x) be defined parametrically by x = 2t - |t|, y ...

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  20. If x = sec theta - cos theta , y= sec^(n)theta - cos^(n) theta then ...

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