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Popular >

derivative of (ln(x)/2-(x^2)/4)

Solution

\frac{d}{d x} (\frac{ln ( x )}{2} - \frac{x ^{2}}{4})

Solution

\frac{1}{2 x} - \frac{x}{2}

Solution steps

\frac{d}{d x} (\frac{ln ( x )}{2} - \frac{x ^{2}}{4})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{ln ( x )}{2}) = \frac{1}{2 x}

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

= \frac{1}{2 x} - \frac{x}{2}

Popular Examples

(\partial)/(\partial x)(x,y)

\frac{\partial}{\partial x} (x, y)

sum from n=0 to infinity of n!e^{-2n}

n = 0 \sum \infty n! e^{- 2 n}

inverse oflaplace (3s+1)/(s(s+1)(-s+5))inverse laplace

\frac{3 s + 1}{s ( s + 1 ) ( - s + 5 )}

integral from 0 to 1 of 1/(x-3)

\int_{0}^{1} \frac{1}{x - 3} d x

y^{''}-81y=0,y(2)=2,y(-1)=-1

y^{^{''}} - 81 y = 0, y (2) = 2, y (- 1) = - 1

Frequently Asked Questions (FAQ)

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