The differential of y = is
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
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 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
The differential of is
none of these
If u = xy , then is equal to
yxy-1
u log x
u log y
x yx-1
Find the differential d y and evaluate for the given values of x and y = (x2+5)3, x = 1 ,d x = 0.05
8.8
9.8
10.8
If u = , then is equal to
u
-u
The time of swing T of a pendulam is given by T= k where k is a constant. Determine the percentage error in the time of swing if the length of the pendulum 1 changes from 32.1 cm to 32.0 cm
0.146
0.156
-0.146
-0.156
The differential of y = etanx is
(sec2etanx)dx
(secxetanx)dx
(secxetan2x)dx
