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
B=t-am is the correct answer:)
By making the surface rougher and to increase the force pushing the surfaces together.
The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.
<h3>What is the Area of a Triangle?</h3>
Area of a triangle = 1/2(bh)
Given the dimensions of the flag as the following:
base (b) = 18 in.
height (h) = √(41² - 9²) = 40 in.
Area of the flag = 1/2(18)(40) = 360 in.²
Cost of material needed = (360)(0.15) = $54
Learn more about area of a triangle on:
brainly.com/question/9030437
#SPJ4
Answer:
p=4
Step-by-step explanation:
4p-3=13
4p=3+13
4p=16
p=4
