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:
i think 66.5 miles per hour
Step-by-step explanation:
Answer:
choice G. (-5, 2)
Step-by-step explanation:
(x + 5)^2 + (y - 2)^2 = 9
(x + 5)^2 + (y - 2)^2 = 3^2
center( -5, 2)
Answer:
this is easy you need to get 6 question right
Step-by-step explanation:
Equations:
Quantity:: d = n + 3
Value::: 10n + 5d = 615 cents
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Modify::
d - n = 3
d + 2n = 123
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Subtract and solve for "n"::
3n = 120
n = 40 (# of nickels)
d = n+3 = 43 (# of dimes)
