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Find the points on the curve y=x^3 at wh...

Find the points on the curve `y=x^3` at which the slope of the tangent is equal to the y co-ordinate of the point.

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
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  8. Find the equations of the tangent and normal to the parabola y^2=4 a x...

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  9. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  10. Find the equations of the tangent and normal to the hyperbola 'x^2/a^2...

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  11. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

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  12. The slope of the normal to the curve y=2 x^2+3 sin x at x=0 is a)3 b)1...

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  13. 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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  14. Use differentiation to approximate sqrt36.6.

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

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

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

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