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Find a point at which the tangent to the...

Find a point at which the tangent to the curve `y=(x-2)^2` is parallel to the chord joining the point A (2,0) and B(4,4)

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  2. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

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  3. Find a point at which the tangent to the curve y=(x-2)^2 is parallel t...

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  4. The slope of the normal to the curve, y^2=4x at (1,2) is

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  5. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

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  6. The rate of change of volume of a sphere with respect to its radius wh...

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  7. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  8. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

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  9. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

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  10. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

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  11. Which of the following function has neither local maxima nor local min...

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  12. Find the equation of the tangent to the curve y=3x^2 at (1,1)

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  13. Use differentiation to approximate sqrt36.6.

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  14. Which of the following function is always increasing? a)x+sin2x b)x-s...

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  15. The radius of a cylinder increases at a rate of 1 cm/s and its height ...

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  16. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

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  17. Which of the following function is increasing for all values of x in i...

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  18. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  19. Find the maximum profit that a company can make, if the profit functio...

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  20. Find the slope of the normal to the curve y=sintheta at theta=pi/4

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