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If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/...

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

A

20

B

28

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
  1. Which one of the following is not correct for the features of exponent...

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

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  3. If y=(tan^(-1)x)^(2) show that (x^(2)+1)^(2)y(2)+2x(x^(2)+1)y(1)=2

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  4. If f(x)=x^(3) and g(x)=x^(3)-4x in -2 le x le 2, then consider the sta...

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  5. Which of the following is not a correct statement?

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  6. If the function f(x) satisfies lim(x rarr 1) (f(x) - 2)/(x^(2) - 1) = ...

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  7. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

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  8. If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99)...

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  9. If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...

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  10. If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...

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  11. The value of the integral int(-pi//4)^(pi//4) log (sec theta - tan the...

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  12. int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =

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  13. Let S be the set of all real numbers. A relation R has been defined on...

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  14. For any two real numbers, an operation * defined by a *b = 1 + ab is

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  15. Let f:NtoNdefined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if ...

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  16. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

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  17. The domain of the function f(x)=sqrt(cos x) is

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  18. In a class of 60 students, 25 students play cricket and 20 students pl...

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  19. Given 0 le x le (1)/(2) then the value of tan[sin^(-1){(x)/(sqrt(2)) +...

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  20. The value of sin(2 sin^(-1) 0.8) is equal to

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