What is the derivative of y=ln(5)x^3 ?

The derivative of y=ln(5)x^3 is 3ln(5)x^2

What is the first derivative of y=ln(5)x^3 ?

The first derivative of y=ln(5)x^3 is 3ln(5)x^2

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derivative of

y = ln (5) x^{3}

3 ln (5) x^{2}

Solution steps

\frac{d}{d x} (ln (5) x^{3})

Take the constant out:

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

= ln (5) \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= ln (5) \cdot 3 x^{3 - 1}

Simplify

= 3 ln (5) x^{2}

3 e^{3 t}

f^{^{''}} (x) = e^{x}, f^{^{'}} (0) = 2, f (0) = 5

\int \frac{1}{1 - e ^{- x}} d x

\frac{\partial}{\partial y} (x^{4} + 3 y^{3})

What is the derivative of y=ln(5)x^3 ?
The derivative of y=ln(5)x^3 is 3ln(5)x^2
What is the first derivative of y=ln(5)x^3 ?
The first derivative of y=ln(5)x^3 is 3ln(5)x^2