CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

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.

 

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