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Show that f(x)=x^3-6x^2+24x+4 has neithe...

Show that `f(x)=x^3-6x^2+24x+4` has neither a maximum nor a minimum value.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

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  2. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

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  3. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

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  4. Find Integrating factor of:(x logx)dy/dx+y=2logx

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  5. Integrate int(x+7)/(x^2+8x)dx

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  6. Solve dy/dx+y/x=xy^2.

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  7. Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12

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  8. Prove that the measure of the angle between two main diagonals of a cu...

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  9. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  10. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

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  11. Show that the vector area of the triangle whosse vertices have positio...

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  12. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  13. If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).

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  14. Show that sin^(P) theta cos^(q) theta attains a maximum value, when th...

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  15. Show that the sum of the intercepts on the coordinate axes of any tang...

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  16. Prove by vector method that the mid-point of the hypotentise of a righ...

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  17. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

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  18. Let f be defined by f(x)=4x + 3 for all x""inR. Show that it is biject...

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  19. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

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  20. Prove that int0^(pi/2)lnSinxdx=-pi/2ln2

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