en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 120x^3-180x^2+60

Solution

\frac{d}{d x} (120 x^{3} - 180 x^{2} + 60)

Solution

360 x^{2} - 360 x

Solution steps

\frac{d}{d x} (120 x^{3} - 180 x^{2} + 60)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (120 x^{3}) - \frac{d}{d x} (180 x^{2}) + \frac{d}{d x} (60)

\frac{d}{d x} (120 x^{3}) = 360 x^{2}

\frac{d}{d x} (180 x^{2}) = 360 x

\frac{d}{d x} (60) = 0

= 360 x^{2} - 360 x + 0

Simplify

= 360 x^{2} - 360 x

Popular Examples

inverse oflaplace (6e^{-s})/(s(10s+1))inverse laplace

\frac{6 e ^{- s}}{s ( 10 s + 1 )}

(\partial)/(\partial x)(((3))/((x+y)^3))

\frac{\partial}{\partial x} (\frac{( 3 )}{( x + y ) ^{3}})

integral of sec^3(x)tan(x)

\int sec^{3} (x) tan (x) d x

limit as x approaches (-pi/2)-of sec(x)

x \to (- \frac{π}{2}) - lim (sec (x))

(\partial)/(\partial x)(6x^2+3y^2+xy)

\frac{\partial}{\partial x} (6 x^{2} + 3 y^{2} + x y)

Frequently Asked Questions (FAQ)

What is the derivative of 120x^3-180x^2+60 ?
The derivative of 120x^3-180x^2+60 is 360x^2-360x
What is the first derivative of 120x^3-180x^2+60 ?
The first derivative of 120x^3-180x^2+60 is 360x^2-360x