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
First, solve the parenthesis
Remember to follow PEMDAS, and the left-> right rule
12/3 = 4
4 x 2 = 8
8 + 3 = 11
11 - 7 = 4
Square the remaining number
4² = 4 x 4 = 16
16 is your answer
hope this helps
Answer:
(1,0) & (2,1)
Step-by-step explanation:
substitute x-1 for y in the first equation then solve using the PEMDAS and traditional rules
For m it’s 1,1/3and -5/3 you will get different values when plug the different values of n
Answer:
$1800
Step-by-step explanation:
twelve months in a year 12*2=24
75*24=1800
