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Show that the function f(x) = x^3 +10 x ...

Show that the function f(x) = `x^3` +10 x +7 for all x `in` R is strictly increasing.

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Verify Lagrange's mean value theorem for the following functions: f(x)...

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  2. Verify Lagrange's mean value theorem for the following functions: f(x)...

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  3. Show that the function f(x) = x^3 +10 x +7 for all x in R is strictly ...

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  4. Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or de...

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  5. Find the values of x, for using the function f(x)= x^3 +12 x^2 +36x...

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  6. Find the values of x, for using the function f(x)= x^3 +12 x^2+36x+...

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  7. Find the local maxima local minima of the function f(x) = x^3 -3x.

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  8. Find the local maxima local minima of the function f(x) = x^3 -3x^2 - ...

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  9. A wire of length 120 cm is bent in the form of rectangle. Find its dim...

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  10. A rectangular sheet of paper has area 24 sq. meters. The margin at t...

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  11. An open box is to be cut of piece of square card board of side 18 cm ...

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  12. Two sides of a triangle are given, find the angle between them such th...

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  13. The slant side of a right circular cone is l. Show that the semi verti...

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  14. Find the height of a covered box of fixed volume so that the total s...

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  15. Find the equations of tangent and normal to the following curves at th...

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  16. Find the equations of tangent and normal to the following curves at th...

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  17. Find the equations of tangent and normal to the following curves at th...

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  18. Find the equations of tangent and normal to the curve x^2+y^2 = 5, whe...

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  19. The displacement s of a particle at time t is given by s = t^3 -4t^2 -...

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  20. The displacement s of a particle at time t is is given by s=2t^3- 4t^2...

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