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CBSE CLASS XII

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Differentiability Applications (1 Mark)

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  1. If a line y = x + 1 is a tangent to the curve y2= 4x ,find the point the of contact ?
  2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis
  3. Find the slope of tangent for y = tan x + sec x at x = π/4
  4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x.
  5. Find the maximum and minimum values, if any of
  6. For the curve y = 3x² + 4x, find the slope of the tangent to the curve at the point x = -2.
  7. Find a point on the curve y = x2– 4x -32 at which tangent is parallel to x-axis.
  8. Find a, for which f(x) = a(x+sinx)+a is increasing .
  9. The side of a square is increasing at 4 cm/minute. At what rate is the area increasing when the side is 8 cm long?
  10. Find the point on the curve y =x2-7x+12, where the tangent is parallel to x-axis.

 

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Submitted By Mrs. E.Praveen
Email Id : [email protected]