en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 7/10 x^2+4x^3

Solution

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

Solution

\frac{7 x}{5} + 12 x^{2}

Solution steps

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

Simplify

\frac{7}{10} x^{2} + 4 x^{3} : \frac{7 x ^{2}}{10} + 4 x^{3}

= \frac{d}{d x} (\frac{7 x ^{2}}{10} + 4 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{7 x ^{2}}{10}) + \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (\frac{7 x ^{2}}{10}) = \frac{7 x}{5}

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

= \frac{7 x}{5} + 12 x^{2}

Popular Examples

(dy)/(dx)-y=-x/2

\frac{d y}{d x} - y = - \frac{x}{2}

limit as x approaches 0 of 1-1/(x^2)

x \to 0 lim (1 - \frac{1}{x ^{2}})

limit as x approaches 3 of ((x^2-2x-3))/(x^2-9)

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

y^'(x^2+2)+4x(y^2+2y+1)=0

y^{^{'}} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

derivative of (1+cos(5t))^{-4}derivative of

(1 + cos (5 t))^{- 4}

Frequently Asked Questions (FAQ)

What is the derivative of 7/10 x^2+4x^3 ?
The derivative of 7/10 x^2+4x^3 is (7x)/5+12x^2
What is the first derivative of 7/10 x^2+4x^3 ?
The first derivative of 7/10 x^2+4x^3 is (7x)/5+12x^2