en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3x^4-16x^3-18x^2

Solution

\frac{d}{d x} (3 x^{4} - 16 x^{3} - 18 x^{2})

Solution

12 x^{3} - 48 x^{2} - 36 x

Solution steps

\frac{d}{d x} (3 x^{4} - 16 x^{3} - 18 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (16 x^{3}) - \frac{d}{d x} (18 x^{2})

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

\frac{d}{d x} (16 x^{3}) = 48 x^{2}

\frac{d}{d x} (18 x^{2}) = 36 x

= 12 x^{3} - 48 x^{2} - 36 x

Popular Examples

derivative of sqrt(10x+1)derivative of

10 x + 1

derivative of f(x)=(4t-5)^4+(4t+5)^4 derivative of

f (x) = (4 t - 5)^{4} + (4 t + 5)^{4}

derivative of y=[x(x^5+4)^4]derivative of

y = [x (x^{5} + 4)^{4}]

integral of 6/(3x+1)

\int \frac{6}{3 x + 1} d x

limit as x approaches infinity+of 1/(log_{10)(x)}

x \to \infty + lim (\frac{1}{lo g _{10} ( x )})

Frequently Asked Questions (FAQ)

What is the derivative of 3x^4-16x^3-18x^2 ?
The derivative of 3x^4-16x^3-18x^2 is 12x^3-48x^2-36x
What is the first derivative of 3x^4-16x^3-18x^2 ?
The first derivative of 3x^4-16x^3-18x^2 is 12x^3-48x^2-36x