What is the derivative of 0.5(1-cos(x)) ?

The derivative of 0.5(1-cos(x)) is 0.5sin(x)

What is the first derivative of 0.5(1-cos(x)) ?

The first derivative of 0.5(1-cos(x)) is 0.5sin(x)

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\frac{d}{d x} (0.5 (1 - cos (x)))

0.5 sin (x)

Solution steps

\frac{d}{d x} (0.5 (1 - cos (x)))

Take the constant out:

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

= 0.5 \frac{d}{d x} (1 - cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 0.5 (\frac{d}{d x} (1) - \frac{d}{d x} (cos (x)))

\frac{d}{d x} (1) = 0

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

= 0.5 (0 - (- sin (x)))

Simplify

= 0.5 sin (x)

What is the derivative of 0.5(1-cos(x)) ?
The derivative of 0.5(1-cos(x)) is 0.5sin(x)
What is the first derivative of 0.5(1-cos(x)) ?
The first derivative of 0.5(1-cos(x)) is 0.5sin(x)