The only thing you can do with this expression is to factor a 5 out of the two terms: we have
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
Square root of 27.
3^(3/2) is the same as square root of 3 cubed, which is 27. so square root of 27.
A is the answer 7th graders are not likely
The coordinate of point S from the giving coordinate point is (-8,4)
<h3>Midpoint of coordinates</h3>
The formula for calculating the midpoint of coordinate point is expressed as:
M(x,y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Determine the measure of the coordinate S
-2 = 4+x₂/2
2(-2) = 4+x₂
x₂ = -4-4
x₂ = -8
Similarly
0 = -4+y₂/2
0(2) = -4+y₂
y₂ = 4
Hence the coordinate of point S from the giving coordinate point is (-8,4)
Learn more on midpoint here: brainly.com/question/5566419
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