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find the derivative of:
(5x^2 + 2x)^3 / (sin 4x)^2

2007-02-13 03:05:09 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

d/dx (5x^2 + 2x)^3 / (sin 4x)^2
= 3(5x^2 + 2x)^2 (10x + 2) / sin(4x)^2
- 2 (5x^2 + 2x)^3 (4 cos 4x) / (sin 4x)^3
= [(5x^2+2x)^2(30x+6)(sin 4x) -(5x^2+2x)^3(8 cos 4x)] / (sin 4x)^3

2007-02-13 03:19:36 · answer #1 · answered by seah 7 · 1 0

Start with the quotient rule, then you'll use the chain rule.

Ask for more help if you need it.

2007-02-13 11:09:54 · answer #2 · answered by mobaxus 2 · 0 2

[(sin4x)^2*3(5x^2+2x)(10x+2)
-8cos4x*(5x^2+2x)^3]/(sin4x)^4

2007-02-13 11:11:58 · answer #3 · answered by raj 7 · 0 0

10 use a calculator

2007-02-13 11:08:29 · answer #4 · answered by 3g 2 · 0 4

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