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If f"(x)>0 for all x in R, f'(3)=0,and g(x)=f(tan^2 x-2tan x+4),0

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If varphi(x) is a polynomial function and varphi^(prime)(x)>varphi(x)A...

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  2. Which of the following statements is true for the function f(x)={sqrt(...

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  3. If f"(x)>0 for all x in R, f'(3)=0,and g(x)=f(tan^2 x-2tan x+4),0<x<pi...

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  4. Let f(x) be a function such that f'(x)=(log)(1/2)[(log)3(sinx+a)]dot ...

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  5. If f^(prime)(x)=|x|-{x}, where {x} denotes the fractional part of x , ...

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  6. Function f(x)=|x|-|x-1| is monotonically increasing when (a) x<0 (b) ...

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  7. Let f be continuous and differentiable function such that f(x) and f'...

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  8. If the function f(x) increases in the interval (a , b),a n dvarphi(x) ...

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  9. Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an inc...

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  10. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c), v=sqrt(c) -sqrt(c-1...

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  11. The length of the largest continuous interval in which the function f(...

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  12. Prove that the least perimeter of an isosceles triangle in which a cir...

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  13. A given right cone has volume p , and the largest right circular cylin...

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  14. The function f(x)=x^(1/3)(x-1) has two inflection points, has one poi...

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  15. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

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  16. The largest area of the trapezium inscribed in a semi-circle or radius...

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  17. A bell tent consists of a conical portion above a cylindrical portion ...

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  18. A rectangle is inscribed in an equilateral triangle of side length 2a ...

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  19. The fuel charges for running a train are proportional to the square of...

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  20. A cylindrical gas container is closed at the top and open at the botto...

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