What is the derivative of ln(3)x^4 ?

The derivative of ln(3)x^4 is 4ln(3)x^3

What is the first derivative of ln(3)x^4 ?

The first derivative of ln(3)x^4 is 4ln(3)x^3

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derivative of

ln (3) x^{4}

4 ln (3) x^{3}

Solution steps

\frac{d}{d x} (ln (3) x^{4})

Take the constant out:

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

= ln (3) \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= ln (3) \cdot 4 x^{4 - 1}

Simplify

= 4 ln (3) x^{3}

x^{\frac{2}{3}} (x - 5)

f (x) = \frac{ln ( 15 - 23 x ^{2} )}{8 x ^{5}}

\int (4 x + 3) d x

\frac{\partial}{\partial y} ((x^{2} + y^{2}) e^{- y})

\frac{\partial}{\partial u} (3 v sin (u))

What is the derivative of ln(3)x^4 ?
The derivative of ln(3)x^4 is 4ln(3)x^3
What is the first derivative of ln(3)x^4 ?
The first derivative of ln(3)x^4 is 4ln(3)x^3