WorksheetsApplication of Differentiation 2
Total questions: 3
Worksheet time: 3mins
Name
Class
Date
1.
Stationary point is obtained when
a)
dx2d2y=0
b)
dxdy=0
c)
dxdy Does not exist
d)
f(x)=0
2.
The radius of the circle is increasing at the rate of 0.5 cms-1. Find the rate of increase of the area of the circle when its circumference is 25cm.
a)
225π cm2s−1
b)
225 cm2s−1
c)
425 cm2s−1
d)
425π cm2s−1
3.
A farmer wants to construct a rectangular pigpen using 400 ft of fencing. The pen will be built next to an existing stone wall, so only three sides of fencing need to be constructed to enclose the pen. What dimensions should the farmer use to construct the pen with the largest possible area?
a)
100ft x 200ft
b)
102ft x 196 ft
c)
50 ft x 300 ft
d)
50 ft x 175 ft
100 %
