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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
- Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are ...
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- Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...
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- Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...
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- Find a point on the curve y = (x-3)^2 where the tangent is parallel to...
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- At what point of the curve y = x^2 does the tangent make an angle of 4...
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- Find the equations of the tangents to the curve 3x^2 - y^2 = 2 which a...
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- Show that the curve xy=a^(2)andx^(2)+y^(2)=2a^(2) touch each other.
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- Prove that the curves xy = 4 and x^2+y^2 =8 touch each other.
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- Prove that the curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each o...
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- Find the equations of normal(s) to the curve x^2 + 2y^2 - 4x - 6y + 8 ...
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- Find the coordinates of the point on the curve sqrtx + sqrty = 4 at wh...
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- Show that the equations of the normal at any point theta on the curve ...
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- Find the angle of intersection of the curves y=x^(2) and y=4-x^(2).
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- Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at th...
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- Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...
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- Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...
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- Find the condition that the curves 2x = y^2 and 2 xy = k may intersect...
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- For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...
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- In the following problems, use differentials to find the approximate v...
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- In the following problems, use differentials to find the approximate v...
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