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

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

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

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

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

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

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

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

= 2 x - (- sin (x))

Simplify

= 2 x + sin (x)

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