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

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

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

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

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derivative of

sin^{2} (x) - x

sin (2 x) - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= sin (2 x) - 1

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