Asked by Addy
Find the slope of the tangent to the curve y=2sqrt(x) at the point where x=a.
Find equations of the tangent lines at the points (1, 2) and (9, 6).
Find equations of the tangent lines at the points (1, 2) and (9, 6).
Answers
Answered by
oobleck
y = 2√x
y' = 1/√x
so at the point (a,2√a) the tangent line has equation
y-2√a = 1/√a (x-a)
so plug in whatever numbers you like
y' = 1/√x
so at the point (a,2√a) the tangent line has equation
y-2√a = 1/√a (x-a)
so plug in whatever numbers you like
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