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For b=1,\ if y=f(x)=8x^3+4x^2+2bx+1 is ...

For `b=1,\ ` if `y=f(x)=8x^3+4x^2+2bx+1` is non monotonic then the sum of all the integral values of `a\ in [1, 100],` is 4950 (b) 5049 (c) 5050 (d) 5047

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. P is a point on positive x-axis, Q is a point on the positive y-...

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  2. Consider the cubic f(x)=8x^3+4a x^2+2b x+a where a , b\ in Rdot For...

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  3. For b=1,\ if y=f(x)=8x^3+4x^2+2bx+1 is non monotonic then the sum o...

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  4. If the sum of the base 2 logarithms of the roots of the cubic f(x)= ...

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  5. Consider the function f(x)=x^(30)dot(lnx)^20 for x >0 If f is continu...

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  6. Maximum value of f(x)=(lnx)^20.x^30 occurs at x=-2/3 (b) x=1 x=e^(-2...

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  7. Consider the function f(x)a n d\ g(x) such that f(x)=(x^3)/2+1-x\ i...

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  8. consider a function f(x) Minimum distance between the functions f(x)...

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  9. Let f(x) be a real valued continuous function on R defined as f(x)=...

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  10. Consider the function f(x) and g(x) such that f(x)=x^2/2+1-x+intg(x)dx...

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  11. let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when

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  12. An extremum value of y=int0^x(t-1)(t-2)dt is : 5/6 (b) 2/3 (c) 1 ...

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  13. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

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  14. A function f: R->R is such that f^(prime)(x)=0 at x=0\ a n d\ x=...

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

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  16. A closed vessel tapers to a point both at its top E and its bottom ...

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  17. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

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

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  19. Number of real solution of the equation, log2^2(x)+(x-1)log2(x)=6-2x, ...

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  20. The number of values of c such that the straight line 3x + 4y = c touc...

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