If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
If y = x3 +2 x2 , find d y
(3 x2 +4 x) d x
(3 x2 + 4 x2 )d x
(4 x2 +3 x) d y
None of these
The differential of sin 2 x is
2 cos x d x
2 sin 2 x d x
2 cos 2 x d x
none of these
The differential of y = is
The differential of y = etanx is
(sec2etanx)dx
(secxetanx)dx
(secxetan2x)dx
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
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
If u = xy , then is equal to
yxy-1
u log x
u log y
x yx-1
If u = , then is equal to
u
-u
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
