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:
yes
Step-by-step explanation:
pic above
Answer:
35/4 or 8,3/4
Step-by-step explanation:
Flip the second fraction and multiply.
Answer:
Step-by-step explanation:
y = 9 - X is a linear function; x is to the first power.
y = x2 + 1 does NOT represent a linear function; it's a quadratic function.
o
y=x² + 5 does NOT represent a linear function; it's a quadratic function.
D)
y = [xl - 9 does NOT represent a linear function; it's an absolute value function. This function has two halves, each of which is a linear function.
But the best answer here is that y = 9 - X is a linear function; x is to the first power.
Answer:

Step-by-step
explanation
explanation is attached to the picture
hope this helps
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