The point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis is
The value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] is
0
The radius of a sphere is changing at the rate of 0.1 cm/sec. The rate of change of its surface area when the radius is 200 cm is
The slope of the normal to the curve y = 3 x2 at the point where x - co ordinate 2 is
1/13
1/14
-1/12
1/12
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
For what values of x, the rate of increase of x3 -5x2 +5x+6 is twice the rate of increase of x ?
1, 7/3
3, 1/3
3, 7/3
1/3, 7/3
The equation of the tangent to the curve at the point is
5 y + 3 x = 2
5 y - 3 x = 2
3 x - 5 y = 2
3 x + 3 y = 2
If the length of the diagonal of a square is increasing at the rate of 0.1 cm/sec. What is the rate of increase of its area when the side is 15/√2 cm ?
1.5
3
3√2
0 . 15
The value of
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
2
1
-7
