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Alekssandra [29.7K]
4 years ago
8

If y=1/(x^4+1)^3, find dy/dx​

Mathematics
1 answer:
larisa [96]4 years ago
4 0

Answer:

<u>-12x³</u>

(x⁴ +1)⁴

Step-by-step explanation:

y=1/(x^4+1)^3

y= (x⁴+1)-³

<u>dy</u><u> </u>= <u>d</u><u>(</u><u>x⁴</u><u>+</u><u>1</u><u>)</u><u>-</u><u>³</u> × <u>d</u><u>(</u><u>x</u><u>⁴</u><u>+</u><u>1</u><u>)</u>

dx d(x⁴+1) dx

=-3.(x⁴+1)-³-¹× 4x³

= -12x³(x⁴+1)-⁴

= <u>-</u><u>12</u><u>x</u><u>³</u>

(x⁴+1)⁴

Note: <u>d</u><u>x</u><u>^</u><u>n</u><u> </u> =(n. x^n-1)<u>dx</u>

dx dx

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