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Popular >

derivative of cos(x)-(sqrt(2))/2 x

Solution

derivative of

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

Solution

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

Solution steps

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

Simplify

cos (x) - \frac{2}{2} x : cos (x) - \frac{x}{2}

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

limit as x approaches 1^{-1} of-1.6x-0.6

x \to 1^{- 1} lim (- 1.6 x - 0.6)

derivative of cot(3x^2+5)

\frac{d}{d x} (cot (3 x^{2} + 5))

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ln (x - 2)

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\frac{d}{d x} (\frac{3000}{x})

Frequently Asked Questions (FAQ)

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