What is the derivative of sqrt(x)-cos(x) ?

The derivative of sqrt(x)-cos(x) is 1/(2sqrt(x))+sin(x)

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

The first derivative of sqrt(x)-cos(x) is 1/(2sqrt(x))+sin(x)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

\frac{d}{d x} ((x - 4) ln (\frac{x}{4}))

f (x) = x^{2} - 2

f (x) = 6 x sin (π x)

\frac{d}{d x} (6 csc (x))

y^{^{'}} = 1 + e^{x - y + 8}

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