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
Answer:
sorry idk
Step-by-step explanation:
Answer:
1) The most common place (mode) for people to jog is the path.
2) (The picture)
Step-by-step explanation:
1) The mode means what is most common, and since the path has 22 people, it is the most common place.
2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.
Answer:
For inch/min =0.9167 inch/min
For min/inch = 1.0908 min/inch
Step-by-step explanation:
The snail in the race traveled 11/6 inches in 2 minutes.
The number of inches per minute is equal to = (11/6)/(2)
= 11/12
=0.9167 inch/min
The number of minutes per inch is equal to = 1/(inch per min)
= 1/0.9167
= 1.0908 min/inch
Minutes per inch is gotten by taking the inverse of inch/min or dividing the number of minutes by number of inches
