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Use differential to approximate 25^(1/3)...

Use differential to approximate `25^(1/3)`

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. The line y=x+1 is a tangent to the curve y^2=4 x at the point a)(1,2) ...

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  2. Use differentiation to approximate sqrt36.6.

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  3. Use differential to approximate 25^(1/3)

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  4. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

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  5. Find the approximate change in the volume V of a cube of side x meters...

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  6. If the radius of a sphere is measured as 9 cm with an error of 0.03 c...

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  7. Find the approximate value of f(2.01), where f(x)=4 x^2+5 x+2

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  8. Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15.

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  9. Find the approximate change in the volume V of a cube of side x meters...

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  10. Find the approximate change in the surface area of a cube of side x me...

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  11. If the radious of a sphere is measured as 7m with an error of 0.02m th...

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  12. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

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  13. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

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  14. Find the approximate change in volume of a cube of side x meters cause...

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  15. Find all points of local maxima and local minima of the function f giv...

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  16. Find all the point of local maxima and local minima of the function f ...

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  17. Find local minimum value of the function f given by f(x)=3+|x|, x in R

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  18. Find local maximum and local minimum value of the function f given, by...

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  19. Find all the point of local maxima and local minima of the function f ...

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  20. Find two positive numbers whose sum is 15 and the sum of whose squares...

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