Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is

Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as

or

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Answer:
y=3/2x-3/2
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
On a number line, the 0 is in the middle. Positive numbers are to the right of the 0 and negative numbers are to the left of the 0. A point farthest from 0 could be on the left side and therefore be really small. Therefore the point farthest from 0 is not always the greatest as it could also be the smallest