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The gradient at any point (x,y) of a cur...

The gradient at any point (x,y) of a curve is `3x^2-12` and the curve through the point (2,-7).
Find the equation to the curve.

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  2. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

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  3. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

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  4. Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent t...

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  5. Consider the curve x^(2/3)+y^(2/3)=2 Find the equation of the normal...

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  6. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  7. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  8. Use differentials to find the approximate value of sqrt0.6 up to 3 pla...

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  9. Use differentials to find the approximate value of (0.999)^(1/10) up t...

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  10. Use differentials to find the approximate value of (15)^(1/4) up to 3 ...

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  11. Use differentials to find the approximate value of (26.57)^(1/3) up to...

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

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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. Consider the function y=sqrtx If x=0.0036 and trianglex=0.0001 find ...

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  15. Consider the function y=sqrtx Hence approximate sqrt.0037 using diff...

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  16. Find the approximate value of root(3)(124).

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  17. Find two numbers x and y such that their sum is 35 and the product x^2...

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  18. Using differentials, find the approximate value of (63)^(1/3)

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  19. Find the point on the curve y=x^3-10x+8 at which the tangent is parall...

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  20. Find the point on the curve y=x^3-10x+8 at which the tangent is parall...

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