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Differentiate with respect to X (1-4x)^1/2?
Hi Guys/Gals, can someone please walk me through this using the Dy/Dx method?
Thank you very much!
5 Answers
- ComoLv 77 years ago
y = (1 - 4x)^(1/2)
dy/dx = (1/2) (1 - 4x)^(-1/2) (-4)
dy/dx = (-2) / (1 - 4x)^(1/2)
- ?Lv 77 years ago
f(x) = (1-4x)^(1/2)
f'(x)/f(x) = d/dx ((1/2) ln (1 - 4x)) = -2 / (1 - 4x)
f'(x) = -2f(x) / (1 - 4x) = -2(1-4x)^(1/2) / (1 - 4x)
= -2 / (1-4x)^(1/2)
- PolygonLv 77 years ago
y = (1-4x)^1/2
dy/dx = (1/2)(1 - 4x)^(-1/2)*(-4)
dy/dx = (-2)(1 - 4x)^ (-1/2)
dy/dx = (-2)/[sqrt(1 - 4x)]
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