Question

calcule a derivada de f(x) = 4x elevado a3 +6x.​

Answer 1

Resposta:

Explicação passo-a-passo:

F(x)=4x³+6x

F'(x)=3*4x^(3-1)+6x^(1-1)

F'(x)=12x²+6x^0

F'(x)=12x²+6

Answer 2

Resposta:

Se for  ==> f(x) =(4x)^(3+6x)

y = (4x)^(3+6x)

ln(y) =ln [(4x)^(3+6x)]

ln(y) = (3+6x) * ln(4x)

y= e^[(3+6x) * ln(4x)]

y' = [(3+6x) * ln(4x)]' * e^[(3+6x) * ln(4x)]

Sabemos que e^[(3+6x) * ln(4x)]=y=(4x)^(3+6x)

y' = [(3+6x) * ln(4x)]' * (4x)^(3+6x)

y' = [6* ln(4x)+(3+6x)* (4x)'/ln(4x)] * (4x)^(3+6x)

y' = [6* ln(4x)+(3+6x)* (4)/ln(4x)] * (4x)^(3+6x)

dy/dx =  [6* ln(4x)+(3+6x)* (4)/ln(4x)] * (4x)^(3+6x)