What is the derivative of sin(t/2) ?

The derivative of sin(t/2) is cos(t/2) 1/2

What is the first derivative of sin(t/2) ?

The first derivative of sin(t/2) is cos(t/2) 1/2

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derivative of

sin (\frac{t}{2})

cos (\frac{t}{2}) \frac{1}{2}

Solution steps

\frac{d}{d t} (sin (\frac{t}{2}))

Apply the chain rule:

cos (\frac{t}{2}) \frac{d}{d t} (\frac{t}{2})

= cos (\frac{t}{2}) \frac{d}{d t} (\frac{t}{2})

\frac{d}{d t} (\frac{t}{2}) = \frac{1}{2}

= cos (\frac{t}{2}) \frac{1}{2}

What is the derivative of sin(t/2) ?
The derivative of sin(t/2) is cos(t/2) 1/2
What is the first derivative of sin(t/2) ?
The first derivative of sin(t/2) is cos(t/2) 1/2