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Let `f'(x)gt0` and `g'(x)lt0` for all x in R, then

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)=a x^2-b|x|, where aa n db are constants. Then at x=0,f(x) ha...

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  2. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

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  3. Let f'(x)gt0 and g'(x)lt0 for all x in R, then

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  4. If f(x)=x^3-x^2+100x+2002 ,t h e n a) f(1000)>f(1001) b) f(1/(2000...

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  5. If f^(prime)(x)=g(x)(x-a)^2,w h e r eg(a)!=0,a n dg is continuous at x...

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  6. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...

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  7. Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local max...

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  8. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

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  9. Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

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  10. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

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  11. f(x)=(x-1)|(x-2)(x-3)|dot Then f decreases in (a)(2-1/(sqrt(3)),2) (b...

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  12. f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 , monotonically decreases in (a) (76/9...

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  13. f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...

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  14. F(x)=|xlog(e)x|monotonically decreases in which interval?

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  15. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

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  16. A function g(x) is defined as g(x)=1/4f(2x^2-1)+1/2f(1-x^2) and f(x) i...

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  17. Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < ...

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  18. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

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  19. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

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  20. Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

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