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5. Graphical Applications of Derivatives

Curve Sketching

5. Graphical Applications of Derivatives

Curve Sketching: Study with Video Lessons, Practice Problems & Examples

12PRACTICE PROBLEM

A solar panel generates energy according to the function $E (t) = 60 t - 2 t^{2} + \frac{t^{3}}{6}$ kWh, where $t$ is the time in hours after sunrise. The power generated by the solar panel is the derivative of the energy function. Graph the power function on $\left\lbrack0,24\right\rbrack$ using a graphing utility and interpret it.

ANSWERS OPTIONS

The power attained the minimum value at $t equals 2$ hours and then started increasing after $t equals 2$ hours.

The power attained the minimum value at $t equals 12$ hours and then started increasing after $t equals 12$ hours.

The power attained the minimum value at $t equals 8$ hours and then started increasing after $t equals 8$ hours.

The power attained the minimum value at $t=4$ hours and then started increasing after $t=4$ hours.