cant figure out
2007-10-24 17:05:27 · 4 answers · asked by aka_oximoron 1 in Science & Mathematics ➔ Mathematics
f (x) = (2x) (x ² + 1)^4
f `(x) = 2 (x ² + 1)^4 + 4 (x² + 1)³ (2 x) (2 x)
f `(x) = 2 (x ² + 1)^(4) + 16 x ² (x ² + 1)³
f `(x) = 2 (x ² + 1)³ [ (x ² + 1) + 8 x ² ]
f `(x) = 2 (x ² + 1)³ (9 x ² + 1)
2007-10-25 05:57:59 · answer #1 · answered by Como 7 · 1⤊ 0⤋
Product rule +Chain Rule:
2(x^2+1)^4+2x(4((x^2+1)^3)(2x)
You can simplify from there.
2007-10-24 17:10:27 · answer #2 · answered by 3.14159 2 · 0⤊ 0⤋
f(x) = 2x(x^2 + 1)^4
f(x)' = 2x'(x^2 + 1)^4 + 2x(x^2 + 1)^4'
f(x)' = 2(x^2 + 1)^4 + 8x(2x)(x^2 + 1)^3
f(x)' = 2(x^2 + 1)^4 + (16x^2)(x^2 + 1)^3
f(x)' = (2(x^2 + 1)^3)(x^2 + 1 + 8x^2)
f(x)' = (2(x^2 + 1)^3)(9x^2 + 1)
ANS :
2(x^2 + 1)^4 + (16x^2)(x^2 + 1)^3
or
(2(x^2 + 1)^3)(9x^2 + 1)
2007-10-24 17:30:05 · answer #3 · answered by Sherman81 6 · 0⤊ 1⤋
Chain rule...
2007-10-24 17:10:15 · answer #4 · answered by captainzorak 1 · 0⤊ 0⤋