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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{3}{4} x^{\frac{1}{2}} d x

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\int \frac{5 r ^{2}}{r + 5} d r

\int e^{x - y} d x

\int t sec^{2} (8 t) d t

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