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Show that the tangents to the curve y = ...

Show that the tangents to the curve `y = 2x^3 - 3 ` at the points where x = 2 and x = -2 are parallel.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the equation of the tangent line to the curve y = x^2-2x+7 which ...

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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. Show that the tangents to the curve y = 2x^3 - 3 at the points where ...

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  4. Find the points on the curve y = x ^(3) at which the slope of the tang...

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

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

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

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

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

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  10. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

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

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  12. Find the equation of the tangent to the curve y = sqrt 3x - 2 , which ...

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

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

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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 each of the followi...

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

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

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

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