en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 1ln(x-(x^2)/8)

Solution

\frac{d}{d x} (1 ln (x) - \frac{x ^{2}}{8})

Solution

\frac{1}{x} - \frac{x}{4}

Solution steps

\frac{d}{d x} (1 \cdot ln (x) - \frac{x ^{2}}{8})

Simplify

1 \cdot ln (x) - \frac{x ^{2}}{8} : ln (x) - \frac{x ^{2}}{8}

= \frac{d}{d x} (ln (x) - \frac{x ^{2}}{8})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (ln (x)) - \frac{d}{d x} (\frac{x ^{2}}{8})

\frac{d}{d x} (ln (x)) = \frac{1}{x}

\frac{d}{d x} (\frac{x ^{2}}{8}) = \frac{x}{4}

= \frac{1}{x} - \frac{x}{4}

Graph

Popular Examples

derivative of g(u)=sqrt(6u)+sqrt(5u)derivative of

g (u) = 6 u + 5 u

integral of 4/5-1/(3sqrt(5x))

\int \frac{4}{5} - \frac{1}{3 5 x} d x

integral of 12θsec^2(θ)

\int 12 θ sec^{2} (θ) d θ

maclaurin xe^{-x}maclaurin

x e^{- x}

(dy)/(dx)+3x^2y=10x^2

\frac{d y}{d x} + 3 x^{2} y = 10 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 1ln(x-(x^2)/8) ?
The derivative of 1ln(x-(x^2)/8) is 1/x-x/4
What is the first derivative of 1ln(x-(x^2)/8) ?
The first derivative of 1ln(x-(x^2)/8) is 1/x-x/4