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Find the slope of the tangents to the cu...

Find the slope of the tangents to the curve `y=x^2(x+3)` at the points where it crosses the x-axis.

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find the point on the curve y=4x-x^2 where the tangent is parallel to ...

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  2. Show that, the tangent at no point on the curve y=x^3+3x can be parall...

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  3. Find the slope of the tangents to the curve y=x^2(x+3) at the points w...

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  4. The slope of the tangent to the curve y=ax^3+b at the point (2,3) is 4...

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  5. Find the equation of the tangent and normal to the curve y=x^2+x+1 at ...

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  6. Find the equations of the tangents to the curve sqrtx+sqrty=3 at (4,1)

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  7. Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x...

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  8. Find the equation of normal to the ellipse x^2/a^2+y^2/b^2-1 at the po...

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

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

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

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

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

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

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

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

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

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

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

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

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