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

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

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

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

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derivative of

y = x - cos^{2} (x)

1 + sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 1 - (- sin (2 x))

Simplify

= 1 + sin (2 x)

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