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Find the equation of all lines having sl...

Find the equation of all lines having slope `-1` that are tangent to the curve `y=1/(x-1),xne1`

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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

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  3. Find the equation of all lines having slope -1 that are tangent to the...

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  4. Find the equation of all lines having slope 2 which are tangents to th...

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  5. Find the equation of all lines having slope zero which are tangent to ...

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  6. Find the points on the curve x^2/9+y^2/16=1 at which tangents are pa...

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  7. Find the equation of the tangent line to the curve y=x^2-2 x+7 which i...

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  8. Show that the tangents to the curve y=7x^3+11 at the points where x ...

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  9. Find the points on the curve y=x^3 at which the slope of the tangent i...

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

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  11. Find the points on the curve x^2+y^2-2x-3=0 at which the tangent are...

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  12. Find the equation of the normal at the point (am^2, am^3) for the curv...

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  13. Find the equation, of the normal to the curve y=x^3+2 x+6 which are p...

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  14. Find the equations of the tangent and normal to the parabola y^2=4 a x...

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  15. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  16. Find the equations of the tangent and normal to the hyperbola 'x^2/a^2...

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  17. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

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  18. The slope of the normal to the curve y=2 x^2+3 sin x at x=0 is a)3 b)1...

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  19. The line y=x+1 is a tangent to the curve y^2=4 x at the point a)(1,2) ...

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  20. Use differentiation to approximate sqrt36.6.

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