Exercise · ZW-TIME-DERIVATIVE-007 · ★☆☆ Basic
How is the time derivative of \(\varphi_t\) written?
Choose one option.
Show answer
- D. \(\dot{\varphi}_t=\frac{d\varphi_t}{dt}\)
Explanation
The dot notation is the derivative with respect to \(t\), written as \(\frac{d\varphi_t}{dt}\). The other formulas invert the quotient or change the object.
Review the concept: Time derivative
The time derivative \(\dot{\varphi}_t\) describes how a deformation changes as the time parameter \(t\) varies.
\[\dot{\varphi}_t=\frac{d\varphi_t}{dt}\]
More practice problems: time derivative
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