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Let f:IRrarrIR be defined as f(x)=|x|+|x...

Let `f:IRrarrIR` be defined as `f(x)=|x|+|x^2-1|`.The total number of points at which f attains either a local maximum or a local minimum is

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

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  2. The function f(x)=oversetxunderset(-1)intt(e^t-1)(t-1)(t-2)^3(t-3)^5 d...

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  3. Let f:IRrarrIR be defined as f(x)=|x|+|x^2-1|.The total number of poin...

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  4. Let p(x) be a real polynomial of least degree which has a local maximu...

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  5. Find the current through an ideal p- n junction diode asshown is figur...

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  6. Given that E and F are events such that P (E) = 0.6, P (F) = 0.3 and P...

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  7. Let a in R and let f: R be given by f(x)=x^5-5x+a , then (a) f(x) ...

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  8. Match the statement/expressions in Column I with the open intervals in...

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  9. Let f be a function defined on R (the set of all real numbers) such th...

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  10. f(x) is cubic polynomial with f(x)=18 and f(1)=-1 . Also f(x) has loca...

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  11. f(x)={(c^x ,,0lexle1),(2-c^(x-1) , ,1ltxlt=2),( x-c ,,2ltxlt=3):}, and...

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  12. A rectangular sheet of fixed perimeter with sides having their lengths...

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  13. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

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  14. Statement 1: Let f(x)=5-4(x-2)^(2/3)dot Then at x=2, the function f...

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  15. Let f: RvecR be differentiable and strictly increasing function throug...

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  16. The function defined by f(x)=(x+2)e^(-x) is decreasing for all x decr...

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  17. Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even ...

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  18. Prove that f(x)=a^x, 0<a<1, is decreasing in R.

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  19. Assertion Consider the following statements in S and R S: Both sinx a...

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  20. Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Stat...

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