Evaluate the derivative of the following function using the limit definition:

$f(x) = x^2$

Evaluate the derivative of the following function using the limit definition:

$f(x) = \cos(x)$

Identify the derivative of the following:

$f(x) = 9x^4 + 3x$

Identify the derivative of the following:

$f(x) = 6x \cdot \sqrt{x}$

Identify the derivative of the following:

$f(x)$ $= \dfrac{7x^3}{(x + 3)}$

Identify the derivative of the following:

$f(x) = 7\cos(3x) \cdot 2\sin(2x)$

Identify the derivative of the following:

$f(x) = \cos^2(4x^2)$

Identify the derivative of the following:

$f'(x) = \tan(\sec(x))$

Identify the derivative of the following:

$f(x) = \cot^{–1}(3x) + 2 \csc^{–1}(x^3)$

Identify the derivative of the following:

$f(x) = \sec^{–1}(\sin(x) + 6)$

Identify the derivative of the following:

$f(x) = \ln(3x)$

Evaluate the derivative of the following:

$f(x) = 7e^{3x +7}$

Identify the derivative of the following:

$f(x) = 10^x$

Identify the derivative of the following:

$f(x) = \log_3(\tan(2x))$

Evaluate the derivative at $x = 3$ for the following:

$f(x) = 2e^x \cdot \sin (πx)$