I need help with this as fast as possible, I have no idea what it could be-
1 answer:
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Answer:
Step-by-step explanation:
1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.
2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)
There are no more like terms to combine, so is the answer.
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).)
