Mathematics, 17.12.2020 01:10 culbertchristi4887
1) Find d/dt ( sec t/2)
Answers: 1
![\frac{d}{dt} [sec(\frac{t}{2} )] = \frac{1}{2} sec(\frac{t}{2} )tan(\frac{t}{2} )](/tpl/images/0993/3487/b9be5.png)
![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/0993/3487/44454.png)
Trig u derivative: ![\frac{d}{dt} [sec(u)] = u'[sec(u)tan(u)]](/tpl/images/0993/3487/05203.png)
![\frac{d}{dt} [sec(\frac{t}{2} )]](/tpl/images/0993/3487/87c6e.png)
![\frac{d}{dt} [sec(\frac{t}{2} )] = \frac{t^{1-1}}{2} sec(\frac{t}{2} )tan(\frac{t}{2} )](/tpl/images/0993/3487/1f721.png)
Simplify: ![\frac{d}{dt} [sec(\frac{t}{2} )] = \frac{t^{0}}{2} sec(\frac{t}{2} )tan(\frac{t}{2} )](/tpl/images/0993/3487/b55f4.png)
Evaluate: 
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