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

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

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

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

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derivative of

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}

\frac{( x + 3 )}{x ^{2} - 4}

(9 x^{2} + y - 1) d x - (4 y - x) d y = 0

\frac{\partial}{\partial x} (1 + ln (x) + \frac{y}{x})

x \to \infty lim (\frac{ln ( x )}{3 x})

\frac{1}{x - 1}

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