Pregunta: (16\%) Differentiate each of the following functions: y=7x(2x−5)3y=(2x+3)(3x−5)3y=(2x−8x+5)2y=ln(9x+2)4y=(6x+1)e(x2−2)

1) $\mathrm{y}=7\mathrm{x}{(2\mathrm{x}-5)}^3$.

Since $7$ is constant with respect to $\mathrm{x}$, the derivative of $7\mathrm{x}{(2\mathrm{x}-5)}^3$ with respect to $\mathrm{x}$ is $7\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{x}{(2\mathrm{x}-5)}^3\right]$.

$7\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{x}{(2\mathrm{x}-5)}^3\right]$