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If f(x)=k x^3-9x^2+9x+3 monotonically i...

If `f(x)=k x^3-9x^2+9x+3` monotonically increasing in `R ,` then (a)`k<3` (b) `klt=2` (c)`kgeq3` (d) none of these

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

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

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  6. Discuss the number of roots of the equation e(k-xlogx)=1 for different...

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  7. Prove that sin1>cos(sin1)dot Also, show that the equation sin("cos"(si...

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  8. Pa n dQ are two points on a circle of centre C and radius alpha . The ...

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  9. If f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)+(lambda^2-5...

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  10. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

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  11. If A >0,B >0 and A+B=pi/3, the maximum value of tanAtanB is

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  14. The function f(x)=x(x+4)e^(-x//2) has its local maxima at x=adot The...

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  15. Iff(x)={sin^(-1)(sinx),x >0, pi/2,x=0,tcos^(-1)(cosx),x<0

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  17. Consider the function f:(-oo,oo)to(-oo,oo) defined by f(x)=(x^2-a)/(x^...

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  18. If f: RtoRa n dg: RtoR are two functions such that f(x)+f^(primeprime)...

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  19. Let h(x)=x^(m/n) for x in R , where m and n are odd numbers where 0<...

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  20. Find the number of points of maxima and minima of the function. f(x)=1...

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