What is the derivative of y=sin(x/2) ?

The derivative of y=sin(x/2) is cos(x/2) 1/2

What is the first derivative of y=sin(x/2) ?

The first derivative of y=sin(x/2) is cos(x/2) 1/2

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derivative of

y = sin (\frac{x}{2})

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

Solution steps

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

Apply the chain rule:

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

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

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

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

What is the derivative of y=sin(x/2) ?
The derivative of y=sin(x/2) is cos(x/2) 1/2
What is the first derivative of y=sin(x/2) ?
The first derivative of y=sin(x/2) is cos(x/2) 1/2