Question 8 Carry out the following differentiations.
Trang 1Question 8
Carry out the following differentiations
d
d
b)
1 2
2
d
dt
−
2
d
dt
−
2
d
4
d
z
−
2
2
d
2
1
4
w
+
2 3
−
Trang 2Question 9
20
A=πx − x , find the rate of change of A with respect to x
2
V = −x πx , find the rate of change of V with respect to x
P=at −bt , find the rate of change of P with respect to t
d) If W =6kh12 − , find the rate of change of W with respect to h h
e) If N =(at+b)2, find the rate of change of N with respect to t
2 20
dA
x
dx = π − , dV 1 6 x2
dx = − π , dP 2at b
dt = − , dW 3kh 12 1
dh
−
= − ,
2
dN
a t ab
Trang 3DIFFERENTIATING INDICES