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

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

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

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

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derivative of

y = 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{7}{x ^{8}} d x

f (x) = x^{2} + 9 x, at x = - 8

\int x (ln (x) + e^{x}) d x

f (x) = 1 - x^{2}, at x = 2

\int \frac{21}{25 + 4 r ^{2}} d r

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