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The set of all x for which log(1+ x) le ...

The set of all x for which `log(1+ x) le x` is equal to …… .

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)=2x-sinx and g(x)=3sqrtx . Then

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  2. Let f(x)=x^4-4x^3+6x^2-4x+1. Then, (a) f increase on [1,oo] (b) f dec...

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  3. The set of all x for which log(1+ x) le x is equal to …… .

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  4. The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...

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  5. Let f(x)={x e^(a x),x lt=0;x+a x^2-x^3,x >0 where a is a positive con...

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  6. Suppose f(x) is a function satisfying the following conditions : ...

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  7. It is given that equation 4x^3-3x-p=0 has a unique root in the interva...

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  8. Using the relation 2(1−cosx)<x^2 ,x=0 or prove that sin(tanx)≥x,∀ϵ[0,...

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  9. If P(1)=0a n d(d P(x))/(dx)gtP(x), for all xge1. Prove that P(x)&gt;0...

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  10. If p(x) is a polynomial of degree 3 satisfying p(-1)=10 , p(1) =-6 a...

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  11. The larger of cos[log(theta)] and log(costheta) if e^(-pi/2) < theta <...

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  12. The function y=2x^2-log(x) is monotonically increasing for values of x...

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  13. The volume of the greatest cylinder which can be inscribed in a cone o...

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  14. Use the function f(x)=x^(1//x),xgt0 to determine the bigger of the two...

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  15. For all x in (0,1) (a) e^x<1+x (b) (log)e (1+x) < x (c) sin x > x ...

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  16. Let A(p^2,-p),B(q^2, q),C(r^2,-r) be the vertices of triangle ABC. A p...

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  17. If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing ...

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  18. Let f: R->R be a function such that f(x)=a x+3sinx+4cosxdot Then f(x...

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  19. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

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  20. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a)k<3...

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