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

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

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

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

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\frac{d}{d x} (x^{2} + \frac{cos ( x )}{2})

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

Solution steps

\frac{d}{d x} (x^{2} + \frac{cos ( x )}{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (\frac{cos ( x )}{2})

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

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

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

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