first derivative when 100-4/Q?

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first derivative when 100-4/Q?

2007-11-10 00:57:33 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

f (Q) = 100 - 4 Q^(-1)
f ´(Q) = 4 Q^(-2)
f ' (Q) = 4 / Q^2

2007-11-13 04:40:18 · answer #1 · answered by Como 7 · 0⤊ 0⤋

Are you asking (100 - 4) / Q or 100 - (4 / Q)?

I'll do both anyways.

(100 - 4) / Q = 96 x Q^(1/2) or just 96Q^(1/2)
Derivative = 48Q^(- 3/2)

and

100 - (4 / Q) = 100 - 4Q^(1/2)
Derivative = - 2Q^(- 3/2)

By the way, I didn't put the answers in fractions.
Hope that helps!

2007-11-10 09:09:05 · answer #2 · answered by Anonymous · 0⤊ 0⤋

100 -4/Q = 100 -4(Q^(-1))

derivative = -4(-1)(Q^(-1-1) = 4/(Q^2)

2007-11-10 09:03:26 · answer #3 · answered by Any day 6 · 0⤊ 0⤋

4/Q^2

2007-11-10 09:19:11 · answer #4 · answered by Mitchell 5 · 0⤊ 0⤋