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Find the point(s) on the curve: y = 3x^2...

Find the point(s) on the curve: `y = 3x^2 - 12 x + 6` at which the tangent is parallel to x-axis.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the equation of tangent to the curve given by x = a sin^3 t, y = ...

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  2. Find the equation of the tangent at t = pi/4 to the curve: x = sin 3t,...

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  3. Find the point(s) on the curve: y = 3x^2 - 12 x + 6 at which the tange...

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

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  5. Find the point(s) on the curve: y = 1/4(x^2), where the slope of the t...

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  6. Find the point(s) on the curve: y = x^2+1, at w2hich the slope of the ...

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  7. Find the point(s) on the curve: y = x^2+1, at w2hich the slope of the ...

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  8. Find the point on the curve y = x^3 -11x +5 at which the tangent is y ...

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

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  10. Find the points on the following curve at which the tangents are paral...

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  11. At what point on the curve x^2+y^2-2x-4y+1=0 is the tangent paralle to...

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  12. Find points on the curve x^2/4 + y^2/25 = 1at which the tangents are ...

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  13. Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are ...

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  14. Show that the tangents to the curve y= 7x^3 + 11 at the points x = 2 a...

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  15. Find the equations of all lines having slope 0 which are tangent to th...

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  16. Find the equation of all lines having slope – 1 that are tangents to t...

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  17. Find the equation of all lines having slope 2 which are tangent to the...

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  18. Find the point of intersection of the tangetn lines to the curve y = 2...

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  19. Prove that the tangents to the curve y=x^2 - 5x + 6 at the points (2,0...

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  20. Find the angle of intersection of the curves: y^2=4x and x^2=4y

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