Math Problem Statement

Given the function y, equals, start fraction, x, to the power 4 , plus, 2, divided by, 4, minus, 3, x, to the power 4 , end fraction, commay= 4−3x 4

x 4 +2 ​ , find start fraction, d, y, divided by, d, x, end fraction dx dy ​ in simplified form.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Quotient Rule

Formulas

Quotient Rule: (u(x)/v(x))' = (v(x)u'(x) - u(x)v'(x)) / (v(x))^2
Power Rule: d/dx (x^n) = n*x^(n-1)

Theorems

Quotient Rule

Suitable Grade Level

Grades 11-12