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Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
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  2. Find the equation of normal to the ellipse x^2/a^2+y^2/b^2-1 at the po...

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  3. Find the equation of the tangent and the normal at the point 't' on th...

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

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  5. Find the equation of the tangents to the curve y=(x-1)(x-2) at the poi...

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  6. Find the tangent to the curve xy^2=4(4-x) at the point where it is cut...

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  7. The equation of a tangent to the parabola y^(2)=8x which makes an angl...

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  8. Find the coordinates of the points on the curve y=x^2+3x+4 , the ta...

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  9. Find the angle between the two curves y=2x^2 and y=x^2+4x-4

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  10. Find the acute angle between the two curves y=x^2 and y=(x-3)^2

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  11. Find (d^2y)/(dx^2) if y=2x^3-3x^2+5x-7

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  12. Find (d^2y)/(dx^2) if y=(x-1)/(x+1)

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  13. Find (d^2y)/(dx^2) if y=log(x+sqrt(x^2+a^2))

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  14. Find (d^2y)/(dx^2) if y=sin^3x.cosx

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  15. Find (d^2y)/(dx^2) if y=tan^(-1)2x

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  16. Find (d^2y)/(dx^2) if y=e^x.tanx

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  17. Find (d^2y)/(dx^2) at x=2 if y=x^3+logx

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  18. If y=Acos sqrtkx+Bsin sqrtkx, prove that y2+ky=0

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  19. If y=(sin^(-1)x)^2, then prove that (1-x^2)y2-xy1=2

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  20. If y=(tan^(-1)x)^2 , show that (x^2+1)^2y2+2x(x^2+1)y1=2 .

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