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

The derivative of cos^4(x-2x^2) is -4cos^3(x)sin(x)-4x

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

The first derivative of cos^4(x-2x^2) is -4cos^3(x)sin(x)-4x

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

- 4 cos^{3} (x) sin (x) - 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos^{4} (x)) = - 4 cos^{3} (x) sin (x)

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

= - 4 cos^{3} (x) sin (x) - 4 x

in v erse l a pl a ce \frac{1}{s + 11}

s l o p e in t erce pt (- 3, 1), (2, - 14)

\frac{\partial}{\partial y} (2 x y - sec^{2} (x))

s im pl i f y - 2

t an g e n t 2 x^{2} + x

What is the derivative of cos^4(x-2x^2) ?
The derivative of cos^4(x-2x^2) is -4cos^3(x)sin(x)-4x
What is the first derivative of cos^4(x-2x^2) ?
The first derivative of cos^4(x-2x^2) is -4cos^3(x)sin(x)-4x