What is the derivative of 6sqrt(x)-4x^3+9 ?

The derivative of 6sqrt(x)-4x^3+9 is -12x^2+3/(sqrt(x))

What is the first derivative of 6sqrt(x)-4x^3+9 ?

The first derivative of 6sqrt(x)-4x^3+9 is -12x^2+3/(sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

6 x - 4 x^{3} + 9

- 12 x^{2} + \frac{3}{x}

Solution steps

\frac{d}{d x} (6 x - 4 x^{3} + 9)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (9)

\frac{d}{d x} (6 x) = \frac{3}{x}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (9) = 0

= \frac{3}{x} - 12 x^{2} + 0

Simplify

= - 12 x^{2} + \frac{3}{x}

\frac{d}{d x} (t sin (x))

k = 1 \sum \infty e^{- k^{2}}

\frac{\partial}{\partial x} (x^{2} + y^{2} + x y)

\frac{d}{d x} (5 - 5 sin (x))

f (x) = 2 cos (2 x)

What is the derivative of 6sqrt(x)-4x^3+9 ?
The derivative of 6sqrt(x)-4x^3+9 is -12x^2+3/(sqrt(x))
What is the first derivative of 6sqrt(x)-4x^3+9 ?
The first derivative of 6sqrt(x)-4x^3+9 is -12x^2+3/(sqrt(x))