Question

Differentiate the function with respect to x
f(x)= x^4/ x^2- 4
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Answer 1

Explanation:

`f(x)=(u)/(v) ,u~ and~ v~ functions~ of~ x\\f'(x)=(v ~u'-u~v' )/(v^2) \\f(x)=(x^4)/(x^2-4) \\f'(x)=((x^2-4)*4x^3-x^4(2x))/((x^2-4)^2) \\=(2x^3(2x^2-8-x^2) )/((x^2-4)^2) \\=(2x^3(x^2-8))/((x^2-4)^2)`