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Show that the following function does no...

Show that the following function does not have a local maximum or a local minimum f(x) = `x^3+x^2+x+1`.

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the slope of the curve x^2+3y=3 at the point (1,2).

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  2. Find the equation of the tangent to the curve x^2+3y=3 parallel to the...

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  3. Show that the following function does not have a local maximum or a lo...

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  4. Prove that the following functions do not have maxima or minima f(x)=e...

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  5. Prove that the following functions do not have maxima or minima g (x) ...

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  6. The combined resistance R of two resistors R1 and R2(R1,R2>0) is given...

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  7. Show that all rectangles with a given perimeter, the square has the ma...

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  8. Show that the height of the cylinder of maximum volume that can be i...

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  9. An edge of a variable cube is increasing at the rate of 3 cm / s. How ...

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  10. Find the local maxima and local minima of the following function g(x)=...

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  11. Choose the correct answer from the bracket. The rate of change of the ...

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  12. Find the intervals in which the function f given by f(x)=x^2-6x+5 is S...

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  13. Find the intervals in which the function f given by f(x)=x^2-6x+5 is ...

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  14. Find the local minimum and local maximum value, if any, of the functio...

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  15. Choose the correct answer from the bracket. The slope of the tangent t...

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  16. Find points on the curve x^2/25+y^2/9=1 at which the tangents are Pa...

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  17. Find points on the curve x^2/25+y^2/9=1 at which the tangents are Pa...

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  18. Use differential to approximate sqrt25.6

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  19. Choose the correct answer from the bracket. The function f(x)=cosx is ...

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  20. Find the equation of the tangent to the curve y=x^2-4x+5 which is para...

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