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Find the equation to the tangent and nor...

Find the equation to the tangent and normal tothe parabola `y^2 = 4ax` at the point `(at^2, 2at)`.

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  2. Find the approximate value of root(6)(63).

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  4. Show that no two normals to a parabola are parallel.

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  5. The slope of the curve 2y^2 = ax^2 + b at (1, -1) is- 1. Find a and b.

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  6. Find the equation of the normal to the curve y= 2x^2 + 3 sin x at x = ...

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  7. Determine the point on the curve y = ln x, at which the tangent will b...

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  12. etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...

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  13. Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

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  14. Find the slope of the tangent to the curve y =(logex)^2 at x=1/e

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  15. Find the equation of normal to the curve 3y^2=16x at (3,4).

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  16. Determine the point on the curve y = ln x, at which the tangent will b...

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