Question

Qual a derivada da função f(x) = x^4 - 2x^3 / x^2 ?

Answer 1

f(x) = x^4 - 2x^3 / x^2
f(x) = x^4 - 2x

f '(x)=4x³-2

Espero que tenha entendido!

Answer 2

f(x) = u/v --> f'(x) = (u'.v - u.v')/v²  

u=x^4 - 2x^3  

v=x^2  

u'=4x^3-6x^2  

v'=2x  

r: [ (4x^3-6x^2) . (x^2) - (x^4 - 2x^3) . 2x ]/ x^4 =

(4x^5 - 6x^4 - 2x^5 - 4x^4) / x^4=

(2x^5 - 2x^4) / x^4 =

2x-2