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:
113 degrees
Step-by-step explanation:
Since, Angles Alpha and Epsilon are Consecutive Exterior Angles.
Answer:
When the pans contain exactly the same mass the beam is in balance. ... You can place an object in one pan and standard weights in the other to find what the object weighs. Here balance scales are used to show that the box "x" has a mass of 4
To take a root of a faction take the rootof the numerator and denominator separtly 2x over(divided by) square root with 3y in it then youranswer should be 2x square root with 3y in it over 3y
You have five numbers 
Among them there is one negative number 
this number is smallest.
Note that
Since 6.25>6, then
and these numbers are less than 3
Note that
then 
and these numbers are greater than 3.
Therefore, the correct order from the smallest to the greatest is:
