Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
Step-by-step explanation:
after 4 hours, the water level decreased by 8 feet
which is -8
Therefore -8/4 = -2 change in water level every hour
im pretty sure you got it right with 40!!
Answer:
x=2
Step-by-step explanation:
The only way it is possible is if x is 0:
x-2=, 0=, x=2
Answer:
60 inches
Step-by-step explanation:
Fill in the given numbers and solve for length. Then convert to inches.
18 ft = 2L +2(4 ft)
10 ft = 2L . . . . . . . . subtract 8 ft
5 ft = L = 5×(12 in) = 60 in
The length of Sarah's back yard is 60 inches.