What is the derivative of 7cos^3(x) ?

The derivative of 7cos^3(x) is -21cos^2(x)sin(x)

What is the first derivative of 7cos^3(x) ?

The first derivative of 7cos^3(x) is -21cos^2(x)sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (7 cos^{3} (x))

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

Solution steps

\frac{d}{d x} (7 cos^{3} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (cos^{3} (x))

Apply the chain rule:

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

= 3 (cos (x))^{2} \frac{d}{d x} (cos (x))

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

= 7 \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

= - 21 cos^{2} (x) sin (x)

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

y = ∣ x ∣ + ∣ x - 1 ∣, x = - 1, x = 2

\frac{d}{d x} (\frac{( x ^{3} + i x ^{2} + x + 1 )}{x ^{2} + i})

\int (1 - y) d y

\frac{d y}{d t} + 0.3 t y = 5 t, y (0) = 6

What is the derivative of 7cos^3(x) ?
The derivative of 7cos^3(x) is -21cos^2(x)sin(x)
What is the first derivative of 7cos^3(x) ?
The first derivative of 7cos^3(x) is -21cos^2(x)sin(x)