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Discuss the maxima and minima of the function `f(x)=x^(2/3)-x^(4/3)dot`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

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  3. Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot

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  4. Find the approximate value of (1. 999)^6 .

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  5. Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0

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  6. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  7. Find the value of a if x^3-3x+a=0 has three distinct real roots.

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  8. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

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  9. The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Fi...

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  10. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

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  11. Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xge...

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  12. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

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  13. Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)2(b^2-2),x >1 Find the val...

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  14. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

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  15. Find the minimum value of |x-1|+|x-2|+|x-3|

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  16. Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(...

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  17. Discuss the extremum of f(x)={x^2+x^-2}

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

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  19. Find the maximum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+...

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  20. Find the value of the x^2+7xy+y^2, when x=-2, y=-5

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