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

The derivative of cos^2(2x-x^2) is -2sin(4x)-2x

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

The first derivative of cos^2(2x-x^2) is -2sin(4x)-2x

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

- 2 sin (4 x) - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos^{2} (2 x)) = - 2 sin (4 x)

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

= - 2 sin (4 x) - 2 x

What is the derivative of cos^2(2x-x^2) ?
The derivative of cos^2(2x-x^2) is -2sin(4x)-2x
What is the first derivative of cos^2(2x-x^2) ?
The first derivative of cos^2(2x-x^2) is -2sin(4x)-2x