Complete this item.
2 answers:
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Answer:
Step-by-step explanation:
Calculate the derivative of the function:
Calculate the zeros of the derivative:
Let's check the derivative sign:
Sketch a parabola open down
(before the brackets there is the number -3 < 0)
Look at the picture.
Where the derivative is negative, the function decreases.
Where the derivative is positive, the function increases.
Therefore your answer is:
Let y= mx-2 be the tangent line to y=x^2-4x+2 at x=a.
Then slope,
Hence the equation is y=(2a-4)x-2
Let's find y-coordinate at x=a using tangent line and curve.
Using tangent line y at x=a is (2a-4) a -2
Using given curve y-coordinate at x=a is
Let's equate these 2 y-coordinates,
a=2 or -2.
If a=2,
If a=-2,
Hence m values are 0 and -8.