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Popular >

derivative of ln(2x-1/4 x)

Solution

\frac{d}{d x} (ln (2 x) - \frac{1}{4} x)

Solution

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

Solution steps

\frac{d}{d x} (ln (2 x) - \frac{1}{4} x)

Simplify

ln (2 x) - \frac{1}{4} x : ln (2 x) - \frac{x}{4}

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

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

Popular Examples

(\partial)/(\partial x)(x*sin(y+2x))

\frac{\partial}{\partial x} (x \cdot sin (y + 2 x))

derivative of x^9e^{8x}

\frac{d}{d x} (x^{9} e^{8 x})

derivative of e^{3t}derivative of

e^{3 t}

(dy)/(dx)=((3x+2y+1/3)^2)/(3x+2y+1/3)

\frac{d y}{d x} = \frac{( 3 x + 2 y + \frac{1}{3} ) ^{2}}{3 x + 2 y + \frac{1}{3}}

limit as x approaches+2+of 5

x \to + 2 + lim (5)

Frequently Asked Questions (FAQ)

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