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Popular >

derivative of 2cos(x/2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

2 (- sin (\frac{x}{2}) \frac{1}{2}) : - sin (\frac{x}{2})

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

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derivative of-4(x-9)^3 derivative of

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taylor (sin(x)), pi/2 taylor

(sin (x)), \frac{π}{2}

sum from n=1 to infinity of (2n)/(3n)

n = 1 \sum \infty \frac{2 n}{3 n}

derivative of 1+x^2 derivative of

1 + x^{2}

integral from 0 to 9 of 4sqrt(x)-(4x)/3

\int_{0}^{9} 4 x - \frac{4 x}{3} d x

Frequently Asked Questions (FAQ)

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