What is the derivative of sin^5(x^3) ?

The derivative of sin^5(x^3) is 15x^2sin^4(x^3)cos(x^3)

What is the first derivative of sin^5(x^3) ?

The first derivative of sin^5(x^3) is 15x^2sin^4(x^3)cos(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin^{5} (x^{3})

15 x^{2} sin^{4} (x^{3}) cos (x^{3})

Solution steps

\frac{d}{d x} (sin^{5} (x^{3}))

Apply the chain rule:

5 (sin (x^{3}))^{4} \frac{d}{d x} (sin (x^{3}))

= 5 (sin (x^{3}))^{4} \frac{d}{d x} (sin (x^{3}))

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

= 5 (sin (x^{3}))^{4} cos (x^{3}) \cdot 3 x^{2}

Simplify

= 15 x^{2} sin^{4} (x^{3}) cos (x^{3})

x \to 5 lim (∣ x - 5 ∣)

y^{^{'}} - \frac{y}{2} = e^{- t}

(e^{x} - y) d x + (e^{y} - x) d y = 0

(x + 1) \frac{d y}{d x} = x + 6

\int - \frac{2}{100 - 9 t ^{2}} d t

What is the derivative of sin^5(x^3) ?
The derivative of sin^5(x^3) is 15x^2sin^4(x^3)cos(x^3)
What is the first derivative of sin^5(x^3) ?
The first derivative of sin^5(x^3) is 15x^2sin^4(x^3)cos(x^3)