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

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

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PSEB-APPLICATION OF DERIVATIVES-Exercise
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  2. Show that the tangents to the curve y= 7x^3 + 11 at the points x = 2 a...

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  3. Find the points on the curve y = x^3 at which the slope of the tangent...

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  4. For the curve y = 4x^3-2x^5, find all the points at which the tangent ...

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  5. Find the points on the curve x^2+y^2-2x-3 = 0 at which the tangents a...

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  6. Find the equation of the normal at the point (am^2, am^3) for the cur...

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  7. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

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  8. Find the equations of the tangent and normal to the parabola y^2 = 4ax...

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  9. Prove that the curves 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 line to the curve y = sqrt(3x -2) wh...

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  12. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  13. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  14. Using differentials, find the approximate value of each of the followi...

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  15. Using differentials, find the approximate value of each of the followi...

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  16. Using differentials, find the approximate value of each of the followi...

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  17. Using differentials find the approximate value of root(3)(0.009)

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  18. Using differential, find the approximate value of (0.999)^(1/10)

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  19. Using differentials, find the approximate value of each of the followi...

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  20. Using differential find approximate value of root(3)(26)

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