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Popular >

derivative of 1/x-ln(x)

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

(\partial)/(\partial z)(tan(3+2x^2y^3z^2))

\frac{\partial}{\partial z} (tan (3 + 2 x^{2} y^{3} z^{2}))

tangent of (2x+1)^{1/5},\at x=2 tangent of

(2 x + 1)^{\frac{1}{5}}, at x = 2

sum from n=0 to infinity of n/((n^2+3))

n = 0 \sum \infty \frac{n}{( n ^{2} + 3 )}

\frac{d}{d y} (2 x y)

derivative of f(x)=-(12)/(s^5)derivative of

f (x) = - \frac{12}{s ^{5}}

Frequently Asked Questions (FAQ)

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