en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-1/4 x^4+6x^2

Solution

derivative of

- \frac{1}{4} x^{4} + 6 x^{2}

Solution

- x^{3} + 12 x

Solution steps

\frac{d}{d x} (- \frac{1}{4} x^{4} + 6 x^{2})

Simplify

- \frac{1}{4} x^{4} + 6 x^{2} : - \frac{x ^{4}}{4} + 6 x^{2}

= \frac{d}{d x} (- \frac{x ^{4}}{4} + 6 x^{2})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{x ^{4}}{4}) + \frac{d}{d x} (6 x^{2})

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

\frac{d}{d x} (6 x^{2}) = 12 x

= - x^{3} + 12 x

Popular Examples

derivative of (x^4/(12))

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

derivative of f(x)=4x^2sin(x)+2x derivative of

f (x) = 4 x^{2} sin (x) + 2 x

derivative of cos((1-e^{6x})/(1+e^{6x)})derivative of

cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}})

slope of (-9,3),(7,-7)slope

(- 9, 3), (7, - 7)

derivative of cos(e^{cot(x^2}))

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

Frequently Asked Questions (FAQ)

What is the derivative of-1/4 x^4+6x^2 ?
The derivative of-1/4 x^4+6x^2 is -x^3+12x
What is the first derivative of-1/4 x^4+6x^2 ?
The first derivative of-1/4 x^4+6x^2 is -x^3+12x