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

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

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

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

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derivative of

cos (\frac{t}{2})

- sin (\frac{t}{2}) \frac{1}{2}

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (\frac{t}{2}) \frac{1}{2}

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

\frac{\partial}{\partial x} (x^{2} + y^{2} + (21 - x - y)^{2})

\frac{d ^{2} y}{d t ^{2}} - \frac{d y}{d t} + 225 y = 15 sin (15 t)

\int - 2 sin (x) cos (x) d x

\frac{\partial}{\partial x} (5 x^{2} y + 2 x y^{3} + 3 y^{2})

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