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Kryger [21]
3 years ago
11

For what values of x is the line tangent to the graph of f(x) = 4sqrtx-2x parallel to the x-axis?

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

steps below

Step-by-step explanation:

f(x) = 4√x - 2x ... x≥0

f'(x) = 2/√x - 2

critical points: x=0, x=1

x=1 y = 4√1 -2x1 = 2

extreme: (<u>1</u>,2)      tangent line parallel to x axis: y = 2 .... <u>x = 1</u>

x = 0 (x≥0): (0,0)  tangent line parallel to y axis: <u>x = 0</u>

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