Find the differential d y and evaluate dy for the given values of x and d x
y = , x = 0, d x = 0.02
0.1
0.01
0.001
-0.01
Find the approximate change in the volume v of a cube of side x meters caused by increasing the side by 1
-0.03 x3m3
0.04 x3m3
0,03 x3m3
-0.04 x3 m3
The differential of x tan x = y is
(x sec2 x + tan x)dx
(x3 sec2 x + tan x ) dx
(x tan2 x+ sec x )dx
none of these
The curve y2(x-2) = x2 (1+x) has
An asymptote parallel to x- axis
An asymptote parallel to y -axis
An asymptote parallel to both axis
No asymptotes
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
The differential of sin 2 x is
2 cos x d x
2 sin 2 x d x
2 cos 2 x d x
The differential of y = is
Find the differential d y and evaluate d y for the given values of x and d x .y = 1-x2 , x = 5, d x = 1/2
4
5
-4
-5
The differential of x5 is
5 x3 d x
4 x4 d x
5 x5d x
5 x4d x
The differential of is
