What is the derivative of (5x^3-3x+4^{20}) ?

The derivative of (5x^3-3x+4^{20}) is 20(5x^3-3x+4)^{19}(15x^2-3)

What is the first derivative of (5x^3-3x+4^{20}) ?

The first derivative of (5x^3-3x+4^{20}) is 20(5x^3-3x+4)^{19}(15x^2-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((5 x^{3} - 3 x + 4)^{20})

20 (5 x^{3} - 3 x + 4)^{19} (15 x^{2} - 3)

Solution steps

\frac{d}{d x} ((5 x^{3} - 3 x + 4)^{20})

Apply the chain rule:

20 (5 x^{3} - 3 x + 4)^{19} \frac{d}{d x} (5 x^{3} - 3 x + 4)

= 20 (5 x^{3} - 3 x + 4)^{19} \frac{d}{d x} (5 x^{3} - 3 x + 4)

\frac{d}{d x} (5 x^{3} - 3 x + 4) = 15 x^{2} - 3

= 20 (5 x^{3} - 3 x + 4)^{19} (15 x^{2} - 3)

y^{^{'}} = 7 y^{5}

\int \frac{x}{4 + 2 x ^{2}} d x

\frac{d}{d x} (c f (x) + f (x) (c x))

\frac{d}{d x} (\frac{1}{2} ln (x^{2}))

\int \frac{1}{sin ( x ) - cos ( x )} d x

What is the derivative of (5x^3-3x+4^{20}) ?
The derivative of (5x^3-3x+4^{20}) is 20(5x^3-3x+4)^{19}(15x^2-3)
What is the first derivative of (5x^3-3x+4^{20}) ?
The first derivative of (5x^3-3x+4^{20}) is 20(5x^3-3x+4)^{19}(15x^2-3)