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:
The probability that she was on her next roll is 1/2
Step-by-step explanation:
If she does not roll 1,3 or 6, she wins
So if she rolls 2,4 and 6 , she wins
The probability of rolling each is 1/6 each
So the probability of rolling any of the three will be:
1/6 + 1/6 + 1/6 = 3/6 = 1/2
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
