Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6
3 equivalent ratios can be:
4/10
6/15
8/20?
Answer:
-7=h
Step-by-step explanation:
−3=h+8÷2
−3=h+4
−3-4=h+4-4
-3-4=h
-7=h
Answer:
$ 4.50
Step-by-step explanation:
4/9 kg --- $ 2
1 kg --- $ x
x = (1*2): (4/9) = 2:(9/4)= 9/2 = 4.50
