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

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

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

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

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

- 4 x cos (x^{2}) sin (x^{2})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

y^{^{''}} + 4 y = 0, y (\frac{π}{8}) = 0, y (\frac{π}{6}) = 1

\frac{d}{d x} (x^{x + 1})

(- 20, - 4), (- 12, - 10)

n = 1 \sum \infty \frac{2}{25} \cdot (\frac{1}{5})^{n}

6 t e^{5 z}

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