What is the derivative of f(x)=log_{e}(10x) ?

The derivative of f(x)=log_{e}(10x) is 1/x

What is the first derivative of f(x)=log_{e}(10x) ?

The first derivative of f(x)=log_{e}(10x) is 1/x

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derivative of

f (x) = lo g_{e} (10 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (lo g_{e} (10 x))

Simplify

lo g_{e} (10 x) : ln (10 x)

= \frac{d}{d x} (ln (10 x))

Apply the chain rule:

\frac{1}{10 x} \frac{d}{d x} (10 x)

= \frac{1}{10 x} \frac{d}{d x} (10 x)

\frac{d}{d x} (10 x) = 10

= \frac{1}{10 x} \cdot 10

Simplify

\frac{1}{10 x} \cdot 10 : \frac{1}{x}

= \frac{1}{x}

\frac{d y}{d x} = sin^{2} (y)

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

\int \frac{x ^{2} + 1}{x ^{3} - 6 x ^{2} + 12 x - 8} d x

\int \frac{u ^{3}}{u + 1} d u

y^{^{'}} + 3 y = 2 sin (3 t)

What is the derivative of f(x)=log_{e}(10x) ?
The derivative of f(x)=log_{e}(10x) is 1/x
What is the first derivative of f(x)=log_{e}(10x) ?
The first derivative of f(x)=log_{e}(10x) is 1/x