Problems involving finding the rate at which a variable changes with respect to time, given the rate of change of another related variable.

Differentiating an equation with respect to a variable (often time), treating other variables as functions of that variable and applying the chain rule.

$a^2 + b^2 = c^2$

$A = l cdot w$

When differentiating implicitly with respect to time, the chain rule is used to find the derivative of variables that are functions of time. For example, $\frac{d}{dt}x^2 = 2x \frac{dx}{dt}$.

Visualizing the problem helps to understand the relationships between variables and how they change with respect to each other.

Constants can be directly substituted into the equation before differentiation, simplifying the process. The derivative of a constant is zero.