multiply the derivative of x^2 by the derivative of cos(x)

⇥Let's differentiate:

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

⇥ⓘ The derivative of

x^{n}

n x^{n - 1}

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

2 x

⇥

2 x

⇥Let's perform the differentiation:

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

⇥ⓘ The derivative of

\cos (x)

- \sin (x)

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

- \sin (x)

⇥

- \sin (x)

Let's calculate:

2 x \cdot (- \sin (x))

Let's evaluate:

2 x \cdot (- \sin (x))

ⓘ Write the minus sign in front of the product:

2 \cdot (- \sin (x))

-2 \cdot \sin (x)

▶Result:

- 2 x \cdot \sin (x)