CB.Calc.CHA-3.D: Calculate related rates in applied contexts.

Calculate related rates in applied contexts.

Example Problems

The differentiable functions x and y are related by the following equation:

3x^2 = xy

Also,

\frac{dy}{dt} = -3

.
Find

\frac{dx}{dt}

when

x = -6

.

The differentiable functions x and y are related by the following equation:

y = 4x^3 + 3x

Also,

\frac{dx}{dt} = -0.5

Find

\frac{dy}{dt}

when

x = 2

.

The differentiable functions x and y are related by the following equation:

4y - \ln(x) = 0

Also,

\frac{dy}{dt} = -0.5

Find

\frac{dx}{dt}

when

x = e^2

.

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