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L e tf(x)={x+2 , x <-1 ; x^2 , -1...

`L e tf(x)={x+2 , x <-1 ; x^2 , -1 lt= x < 1 and (x-2)^2 , x geq 1` Then number of times `f^(prime)(x)` changes its sign in `(-oo,oo)` is___

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The least area of a circle circumscribing any right triangle of area 9...

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  2. The least integral value of x where f(x)=(log)(1/2)(x^2-2x-3) is monot...

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  3. L e tf(x)={x+2 , x &lt;-1 ; x^2 , -1 lt= x &lt; 1 and (x-2)^2 , ...

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  4. Number of integral values of b for which the equation (x^3)/3-x=b has ...

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  5. Let f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx &gt;1 Then the number of c...

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  6. The number of nonzero integral values of a for which the function f(x)...

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  7. Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...

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  8. Let f(x)={|x^2-3x|+a ,0lt=x<3/2 -2x+3,xgeq3/2 If f(x) has a local ma...

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  9. The largest term in the sequence an=(n^2)/(n^3+200) is given by (a)(...

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  10. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a ha...

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  11. Let f be a continuous, differentiable, and bijective function. If the ...

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  12. Let f(x)=xsqrt(4a x-x^2),(a >0)dot Then f(x) is (a). increasing in (0,...

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  13. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-p...

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  14. A function is matched below against an interval where it is supposed t...

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  15. On which of the following intervals is the function f given by f(x) = ...

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  16. Let g(x)=2f(x/2)+f(2-x)a n df^('')(x)&lt;0AAx in (0,2)dot Then g(x) ...

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  17. Let f: R->R be a differentiable function for all values of x and has...

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  18. Which of the following statement is always true? (a)If f(x) is incre...

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  19. The function f(x)=sum(k=1)^5 (x-K)^2 assumes then minimum value of x g...

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  20. The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (...

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