Inactive Tutor answered 03/07/22
Tutor
New to Wyzant
y = 2z^2-1 = 2(-4/x)^2-1 = 2(16/x^2)-1 = 32/x^2 -1
y' = dy/dx = -64/x^3
y'(2) = -64/2^3 = -64/8 = - 8
dy/dx when x = 2 is - 8
Anne B.
asked 03/07/22Given y=2z2 - 1 and z=-4/x find dy/dx when x=2?
Inactive Tutor answered 03/07/22
y = 2z^2-1 = 2(-4/x)^2-1 = 2(16/x^2)-1 = 32/x^2 -1
y' = dy/dx = -64/x^3
y'(2) = -64/2^3 = -64/8 = - 8
dy/dx when x = 2 is - 8
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