Mathematics, 20.12.2019 23:31 cwebb4383
What is the derivative of cos(pi*t/4) ?
Answers: 2
![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/0428/3605/4bc1d.png)
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/0428/3605/fb0e0.png)
![\displaystyle y' = -\sin \bigg( \frac{\pi t}{4} \bigg) \cdot \frac{d}{dt} \bigg[ \frac{\pi t}{4} \bigg]](/tpl/images/0428/3605/3a6bf.png)
Rewrite [Derivative Property - Multiplied Constant]: ![\displaystyle y' = -\sin \bigg( \frac{\pi t}{4} \bigg) \cdot \frac{\pi}{4} \frac{d}{dt}[t]](/tpl/images/0428/3605/736af.png)
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