Question

Derivada de f(x) = [sen(6x^2]^2

Answer 1

Respuesta:

f(x) = [ sen(6x^2 ) ]^2

f ' (x) = d/dx [ sen(6x^2) ]^2

f ' (x) = d/dx [ sen(6x^2)^2 ]*d/dx[ (6x^2) ]^2

f ' (x) = cos((6x^2)^2)*d/dx[ (36x^4) ]

f ' (x) = cos((6x^2)^2)*36*d/dx[x^4]

f ' (x) = cos((6x^2)^2)*36(4x^3)

f ' (x) = cos((6x^2)*144x^3

f ' (x) = 144x^3*cos((6x^2)

R// f ' (x) =    144x^3*cos((6x^2)) es la derivada de f(x) = [ sen(6x^2) ]^2

Explicación paso a paso: