Find the derivative of the function \$f(x) = 3x^2 + 2x - 5\$.

A) 6x + 2

B) 9x + 2

C) 0

D) \$ x^3 + x^2 - 5x \$

Find the derivative of the function \$g(x) = e^x + ln(x)\$.

A) \$ e^x + x \$

B) \$ xe^x + x^2 \$

C) \$ (e^x)/x - x\$

D) \$ e^x + 1/x \$

Find the derivative of the function \$h(x) = (4x^3 + 2x - 1) / (x^2)\$.

A) \$ (8x^4 - 2x^3 + 4x^2 - x) / x^4 \$

B) \$ (-4x^4 - 2x^2 + 2x) / x^4 \$

C) \$ 4 - 2/(x^2) \$

D) \$ (4x^3 - x^2 + 2x) / x^3 \$

Find the derivative of the function \$h(x) = e^(2x) * sin(x)\$.

A) \$ e^(2x) * sin(x) + e^(2x) * cos(x) \$

B) \$ 2e^(2x) * sin(x) - e^(2x) * cos(x) \$

C) \$ 2e^(2x) * sin(x) + e^(2x) * cos(x) \$

D) \$ 2xe^(2x) * sin(x) + e^(2x) * cos(x) \$

Find the derivative of the function \$f(x) = (x^2 + 1)^(x^3 - 2x)\$.

A) \$ (2x^4 - 3x^3 + 3x^2ln(x^2 + 1) + x^2ln(x^2 + 1) + 2ln(x^2 + 1))((x^2 + 1)^(x^3 - 2x - 1)) \$

B) \$ (2x^4 - 4x^2 + 3x^4ln(x^2 + 1) + x^2ln(x^2 + 1) - 2ln(x^2 + 1))((x^2 + 1)^(x^3 - 2x - 1)) \$

C) \$ (2x^4 - 4x^2 + 3x^4ln(x^2 + 1) - x^2ln(x^2 + 1) - 4ln(x^2 + 1))((x^2 + 1)^(x^3 - 2x)) \$

D) \$ (2x^4 - 6x^2 - 3x^4ln(x^2 + 1) - x^2ln(x^2 + 1) + 2ln(x^2 + 1))((x^2 + 1)^(x^3 + 2x + 1)) \$