Derivatives

$f'(x) = 12x^3 - 6x^2 + 5x + 1$

$f'(x) = 12x^3 - 6x^2 + 10x - 7$ (correct)

$f'(x) = 12x^3 - 6x^2 + 10x + 1$

$f'(x) = 12x^3 - 6x^2 + 5x - 7$

$f'(x) = \frac{x},{\sqrt{x^2 + 1}}$

$f'(x) = \frac{2x},{\sqrt{x^2 + 1}}$ (correct)

$f'(x) = \frac{1},{\sqrt{x^2 + 1}}$

$f'(x) = \frac{x^2},{\sqrt{x^2 + 1}}$

$f'(x) = 3e^{3x} \cdot \ln(x)$

$f'(x) = e^{3x} \cdot \ln(x) + \frac{e^{3x}},{x}$

$f'(x) = e^{3x} \cdot \ln(x) + \frac{3e^{3x}},{x}$ (correct)

$f'(x) = 3e^{3x} \cdot \ln(x) + \frac{e^{3x}},{x}$