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In the given figure graph of y = P(x) = ...

In the given figure graph of `y = P(x) = ax^(5) + bx^(4) + cx^(3) + dx^(2) + ex + f`, is given.

The minimum number of real roots of equation `(P''(x))^(2) + P'(x).P'''(x) = 0`, is

A

5

B

7

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  4. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is

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  6. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

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  7. "If "f(x)={{:(,-x-(pi)/(2),x le -(pi)/(2)),(,-cos x,-(pi)/(2) lt x le ...

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  8. For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following i...

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  10. Let f and g be real valued functions defined on interval (-1, 1) such ...

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  11. In the following, [x] denotes the greatest integer less than or equal ...

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  12. If f(x)=min.(1,x^2,x^3), then

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  16. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

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

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  18. For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)), then

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  19. If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):...

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  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

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  21. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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