What is the derivative of f(x)=ln(5)x^4 ?

The derivative of f(x)=ln(5)x^4 is 4ln(5)x^3

What is the first derivative of f(x)=ln(5)x^4 ?

The first derivative of f(x)=ln(5)x^4 is 4ln(5)x^3

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derivative of

f (x) = ln (5) x^{4}

4 ln (5) x^{3}

Solution steps

\frac{d}{d x} (ln (5) x^{4})

Take the constant out:

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

= ln (5) \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= ln (5) \cdot 4 x^{4 - 1}

Simplify

= 4 ln (5) x^{3}

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

\frac{\partial}{\partial x} (7 - x^{2} + x y - 2 y^{2})

\frac{d}{d x} (6 x^{- 2})

4 x - x^{2}, (1.3)

f (x) = 5 x^{4} - 6 x^{2} + 1

What is the derivative of f(x)=ln(5)x^4 ?
The derivative of f(x)=ln(5)x^4 is 4ln(5)x^3
What is the first derivative of f(x)=ln(5)x^4 ?
The first derivative of f(x)=ln(5)x^4 is 4ln(5)x^3