Determine the derivative of the given problem.

$$f(x)=\sqrt{\frac{1}{x^3}}$$

Determine the derivatives of the given functions. Assume that $a,b,c,$ and $k$ are constants.

$$y=x^2 \ln (2 x+1)$$

Find the derivative of the given function.

$$f(x)=\ln (1-x)$$

Determine the derivatives for the given function. Assume $k$ is a constant.

$$h(t)=\ln \left(e^{-t}-t\right)$$

Differentiate the given functions.

$$y=x^2+4 x-3 \ln x$$

Determine the derivative of the given function. Assume that $a, b, c$, and $k$ are constants.

$$w=\left(t^3+5 t\right)\left(t^2-7 t+2\right)$$

Determine the derivative of the given problem.

$$h(\theta)=\frac{1}{\sqrt[3]{\theta}}$$

Determine the derivative of the given problem.

$$y=\sqrt{x}$$

Differentiate the given functions.

$$R(q)=q^2-2 \ln q$$

Determine the derivative of the given function. Assume that $a, b, c$, and $k$ are constants.

$$y=x \cdot 2^x$$

Determine the derivatives for the given function. Assume $k$ is a constant.

$$R(t)=(\sin t)^5$$

Determine the derivatives of the given functions. Assume that $a,b,c,$ and $k$ are constants.

$$f(x)=a x^2+b x+c$$

Find the derivative of the given function.

$$y=\ln (5 t+1)$$

Differentiate the given function. Assume that $A$ and $B$ are constants.

$$P=3+\cos t$$