What is the derivative of f(x)=log_{e}(x) ?

The derivative of f(x)=log_{e}(x) is 1/x

What is the first derivative of f(x)=log_{e}(x) ?

The first derivative of f(x)=log_{e}(x) is 1/x

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derivative of

f (x) = lo g_{e} (x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (lo g_{e} (x))

Simplify

lo g_{e} (x) : ln (x)

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

Apply the common derivative:

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

= \frac{1}{x}

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

\frac{\partial}{\partial x} (x^{\frac{2}{3}} y^{\frac{1}{3}})

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

\frac{d}{d x} ((2 x^{4} - 6 x^{2} + 5)^{2})

- y + y^{^{'}} - y = e^{x} cos (x)

What is the derivative of f(x)=log_{e}(x) ?
The derivative of f(x)=log_{e}(x) is 1/x
What is the first derivative of f(x)=log_{e}(x) ?
The first derivative of f(x)=log_{e}(x) is 1/x