Find the derivative of \$f(x) = 6x^3 - 9x + 4\$.

A) \$f(x) = 18x^2 + 9\$

B) \$f(x) = 18x^2 - 9\$

C) \$f(x) = 18x^3 - 9\$

D) \$f(x) = 18x^2 - 12\$

Find the derivative of \$y = 2t^4 - 10t^2 + 13t\$.

A) \$dy / dt = 8t^3 - 20t - 15\$

B) \$dy / dt = 8t^2 + 20t + 13\$

C) \$dy / dt = 8t^3 - 20t + 13\$

D) \$dy / dt = 8t^3 - 20t + 19\$

Find the derivative of \$g(z) = 4z^7 - 3z^-7 + 9z\$.

A) \$g(z) = 28z^6 - 21z^-8 - 10\$

B) \$g(z) = 28z^7 + 21z^-7 + 9\$

C) \$g(z) = 28z^6 + 21z^-8 + 15\$

D) \$g(z) = 28z^6 + 21z^-8 + 9\$

Find the derivative of \$h(y) = y^-4 - 9y^-3 + 8y^-2 +12\$.

A) \$h(y) = -4^-5 + 27y^-4 - 16y^-3\$

B) \$h(y) = -4^-5 + 27y^-5 - 17y^-2\$

C) \$h(y) = -5^-5 + 29y^-4 - 16y^-3\$

D) \$h(y) = -4^-5 + 27y^-4 + 18y^-3\$

Find the derivative of \$y = sqrtx + 8(3sqrtx) - 2(4sqrtx)\$.

A) \$dy / dx = (1/2)x^-(1/2) + (8 / 3) x^(-2/3) - (1/2)x^(-3/4)\$

B) s\$dy / dx = (1/2)x^-(1/2) - (8 / 3)x^(-2/3) - (1/3)x^(-3/5)\$

C) \$dy / dx = (1/3)x^-(1/3) + (8 / 5)x^(-2/3) - (1/2)x^(-3/4)\$

D) \$dy / dx = (1/2)x^-(1/2) + (10 / 3)x^-(5/3) - (1/2)x^-(3/4)\$

Differentiate the following function is \$ f(x)= x^3 + 5x^2 - 3x + 7 \$.

A) \$3x^2 + 10x -3\$

B) \$3x^2 - 10x -3\$

C) \$3x^2 + 10x +3\$

D) \$3x^2 - 10x + 3\$

Find the derivative of the function \$f(x) = x sin(x)\$.

A) \$sin(x) + xcos(x)\$

B) \$sin(x) - xcos(x)\$

C) \$xsin(x) + cos(x)\$

D) \$xsin(x) - cos(x)\$

Find the derivative of \$f(x) = (4x^2 + 3x - 2)^5\$.

A) \$5(4x^2 + 4x - 2)^4 (8x + 5)\$

B) \$5(4x^2 + 3x - 2)^4 (8x + 3)\$

C) \$(4x^2 - 3x - 2)^4 (8x + 5)^5\$

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

Find the derivative of y = cos(x).

A) \$sin(x)\$

B) \$cos(x)\$

C) \$-sin(x)\$

D) \$-tan(x)\$

Find the equation of the tangent line to the curve \$ y = x^3 - 4x + 1 \$ at x = 2.

A) y = 8x − 48

B) y = 7x + 15

C) y = +x + 48

D) y = 8x − 15