en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(x^3)+6/7 x-10

Solution

\frac{d}{d x} (x^{3} + \frac{6}{7} x - 10)

Solution

\frac{3 x}{2} + \frac{6}{7}

Solution steps

\frac{d}{d x} (x^{3} + \frac{6}{7} x - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (\frac{6}{7} x) - \frac{d}{d x} (10)

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

\frac{d}{d x} (\frac{6}{7} x) = \frac{6}{7}

\frac{d}{d x} (10) = 0

= \frac{3 x}{2} + \frac{6}{7} - 0

Simplify

= \frac{3 x}{2} + \frac{6}{7}

Popular Examples

integral of 7tan^3(2x)sec^5(2x)

\int 7 tan^{3} (2 x) sec^{5} (2 x) d x

integral from 1 to 2 of 5e^{1/x}

\int_{1}^{2} 5 e^{\frac{1}{x}} d x

inverse oflaplace (20)/((s^2+4)(s-4))inverse laplace

\frac{20}{( s ^{2} + 4 ) ( s - 4 )}

integral of (a^2*x)^{((1-a))/a}

\int (a^{2} \cdot x)^{\frac{( 1 - a )}{a}} d x

limit as x approaches 2 of tan((pix)/4)

x \to 2 lim (tan (\frac{π x}{4}))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^3)+6/7 x-10 ?
The derivative of sqrt(x^3)+6/7 x-10 is (3sqrt(x))/2+6/7
What is the first derivative of sqrt(x^3)+6/7 x-10 ?
The first derivative of sqrt(x^3)+6/7 x-10 is (3sqrt(x))/2+6/7