Question

Derivadas ...
$\\ ln(4x {}^{3} + 3) =$
$ln(3x {}^{3} + 2x)$
$ln(4ax {}^{3} + 3x)$
​

Answer 1

Explicación paso a paso: Formula In(v)=$\frac{dv}{v}$

in(4$x^{3}$+3)

v=4$x^{3}$+3

dv=12$x^{2}$

$y^{'}$=dy/dx=12$x^{2}$/4$x^{3}$+3

in(3$x^{3}$+2x)

v=3$x^{3}$+2x

dv=9$x^{2}$+2

dy/dx=9$x^{2}$+2/3$x^{3}$+2x

in(4a$x^{3}$+3x)

v=4a$x^{3}$+3x

dv=12a$x^{2}$+3

dy/dx=12a$x^{2}$+3/4a$x^{3}$+3x