What is the derivative of 6cos(x/2) ?

The derivative of 6cos(x/2) is -3sin(x/2)

What is the first derivative of 6cos(x/2) ?

The first derivative of 6cos(x/2) is -3sin(x/2)

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derivative of

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

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

Solution steps

\frac{d}{d x} (6 cos (\frac{x}{2}))

Take the constant out:

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

= 6 \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}

= 6 (- sin (\frac{x}{2}) \frac{1}{2})

Simplify

6 (- sin (\frac{x}{2}) \frac{1}{2}) : - 3 sin (\frac{x}{2})

= - 3 sin (\frac{x}{2})

(5^{x})^{7}

x^{2} + a^{2}

x - 3 x^{\frac{1}{3}}

\frac{d}{d p} (p^{4} + a^{6.2} - c^{6.3})

y = 7 x^{2} - 1

What is the derivative of 6cos(x/2) ?
The derivative of 6cos(x/2) is -3sin(x/2)
What is the first derivative of 6cos(x/2) ?
The first derivative of 6cos(x/2) is -3sin(x/2)