Answer:
Given:
f(x) = 3x - 1
g(x) = x + 2
To Find:
(f - g)(x)
Step-by-step explanation:
The answer is H
Explanation: what I did was change all of the numbers into decimal form so that we can compare them easier, -2 1/2= -2.5, -2.47 stays the same, -2/5 becomes positive .4 because the entire fraction is negative, you can look at it like -2/-5 and a negative divided by a negative is a positive, And then 5 stays a 5, And 21/4 equals 5.25 therefore your answer is H
Oh and by the way if you don’t know how to turn a fraction into a decimal you simply divide the top number by the bottom number for example 1/2 you take 1 and divide it by 2 which gives you .5 or 12/13 = .923076 hope this makes sense and that this helped
USe the points and slope to write in y=mx+b!
From your previous questions, you know
(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³
(2<em>w</em>² + 1)' = 4<em>w</em>
So by the quotient rule,
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²
That is, the quotient rule gives
<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²
