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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
- Find the point of intersection of the tangetn lines to the curve y = 2...
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- Prove that the tangents to the curve y=x^2 - 5x + 6 at the points (2,0...
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- Find the angle of intersection of the curves: y^2=4x and x^2=4y
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- Find the angle of intersection of the curves: x^2+y^2-4x-1=0 and x^2+y...
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- Show that the following curves cut each other orthogonally: y = x^3 an...
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- Show that the following curves cut each other orthogonally: x^2 + 4y^2...
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- If the curves: alphax^2 + betay^2 =1 and alpha'x^2 + beta'y^2=1 inters...
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- Prove that the curves 4x = y^2 and 4xy = k cut at right angles if k^2...
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- Show that the curves 2x = y^2 and 2xy = k cut at right angles if k^2 =...
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- Prove that the curves y^(2)=4axandxy=c^(2) cut at right angles if c^(4...
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- Show that the normal at any point theta to the curve x = a cos theta +...
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- Find the equations of the tangent and normal to the curve 16x^2 + 9y^2...
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- Find a point on the curve y=x^(3), where the tangent to the curve is p...
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- Find a point on the parabola y =(x-3)^2, where the tangent is parallel...
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- Show that the area of the triangle formed by the tangent and the norma...
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- Find the equations of the normal at a point on the curve x^2=4y, which...
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- Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...
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- Determine the values of 'x' for which the function f(x) = x^2 + 2x - 3...
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- Determine the intervals in which the function f(x) = (x-1)(x+1)^2 is i...
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- Using differentials, find the approximate value of sqrt26
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