What is the derivative of 2/(x^3ln(10)) ?

The derivative of 2/(x^3ln(10)) is -6/(ln(10)x^4)

What is the first derivative of 2/(x^3ln(10)) ?

The first derivative of 2/(x^3ln(10)) is -6/(ln(10)x^4)

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\frac{d}{d x} (\frac{2}{x ^{3} ln ( 10 )})

- \frac{6}{ln ( 10 ) x ^{4}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{3} ln ( 10 )})

Take the constant out:

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

= \frac{2}{ln ( 10 )} \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= \frac{2}{ln ( 10 )} \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= \frac{2}{ln ( 10 )} (- 3 x^{- 3 - 1})

Simplify

\frac{2}{ln ( 10 )} (- 3 x^{- 3 - 1}) : - \frac{6}{ln ( 10 ) x ^{4}}

= - \frac{6}{ln ( 10 ) x ^{4}}

\frac{\partial}{\partial y} (y - x)

x = y, y^{2} - 2 y = x

y = 3 x^{2} + 2

\int (\frac{1}{2} - \frac{1}{2} cos (2 θ - \frac{π}{4})) d θ

1 + 0.2 t

What is the derivative of 2/(x^3ln(10)) ?
The derivative of 2/(x^3ln(10)) is -6/(ln(10)x^4)
What is the first derivative of 2/(x^3ln(10)) ?
The first derivative of 2/(x^3ln(10)) is -6/(ln(10)x^4)