What is the derivative of 1/(xln(10)) ?

The derivative of 1/(xln(10)) is -1/(ln(10)x^2)

What is the first derivative of 1/(xln(10)) ?

The first derivative of 1/(xln(10)) is -1/(ln(10)x^2)

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

- \frac{1}{ln ( 10 ) x ^{2}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{1}{ln ( 10 )} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= \frac{1}{ln ( 10 )} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{1}{ln ( 10 )} (- 1 \cdot x^{- 1 - 1}) : - \frac{1}{ln ( 10 ) x ^{2}}

= - \frac{1}{ln ( 10 ) x ^{2}}

f (x) = \frac{1 + e ^{x}}{1 - e ^{x}}

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

f (x) = x^{2} + 3 x, at x = 1

\frac{d}{d x} (4 - \frac{15}{4 x ^{\frac{1}{4}}})

\frac{d}{d x} (x^{3} + 3 x^{2} - 8)

What is the derivative of 1/(xln(10)) ?
The derivative of 1/(xln(10)) is -1/(ln(10)x^2)
What is the first derivative of 1/(xln(10)) ?
The first derivative of 1/(xln(10)) is -1/(ln(10)x^2)