What is the derivative of x-2cos(x) ?

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

What is the first derivative of x-2cos(x) ?

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

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

1 + 2 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - (- 2 sin (x))

Simplify

= 1 + 2 sin (x)

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