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Use the mean value theorem to prove e^xg...

Use the mean value theorem to prove `e^xgeq1+xAAx in R`

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CENGAGE-APPLICATION OF DERIVATIVES-Examples
  1. Let f:[2,7]vec[0,oo) be a continuous and differentiable function. Then...

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  2. Let f(x)a n dg(x) be differentiable function in (a , b), continuous at...

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  3. Using Lagranges mean value theorem, prove that |cosa-cosb|<|a-b|dot

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  4. Let f(x)a n dg(x) be two differentiable functions in Ra n df(2)=8,g(2)...

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  5. Suppose alpha,betaa n dtheta are angles satisfying 0<alpha<theta<bet...

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  6. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

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  7. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

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  8. If the area of the triangle included between the axes and any tangent ...

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  9. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

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  10. If the tangent at (x1,y1) to the curve x^3+y^3=a^3 meets the curve aga...

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  11. Find the condition for the line y=m x to cut at right angles the conic...

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  12. If the curves ax^(2) + by^(2) =1 and a(1) x^(2) + b(1) y^(2) = 1 inte...

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  13. A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...

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  14. If f is continuous and differentiable function and f(0)=1,f(1)=2, then...

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  15. Let a , b , c be three real numbers such that a<b<cdotf(x) is continuo...

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  16. Use the mean value theorem to prove e^xgeq1+xAAx in R

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  17. Show that the square roots of two successive natural numbers greater ...

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  18. Using Rolles theorem, prove that there is at least one root in (45^(1/...

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  19. For a twice differentiable function f(x),g(x) is defined as g(x)=f^(pr...

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  20. about to only mathematics

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