The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) = ⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
Answer:
1) d ≤ -12
2) x ≥ -25
Step-by-step explanation:
-2.5d ≥ 30
2.5d ≤ -30
d ≤ -12
10 - x ≤ 35
-x ≤ 25
x ≥ -25
Answer:
D. (0.6, 1.9)
Step-by-step explanation:
In the figures attached, the missing table and the missing options are shown.
At the solution, the values of both y are the same. Between 0.5 and 0.6, first y values changes from 2 to 1.8, and second y values change from 1.5 to 2. This means that between this range the lines intersect each other, that is, the values of both lines are equal. At x = 0.6 the functions are closer than at x = 0.5, then the point (0.6, 1.9) is best approximation of the exact solution.