What is the derivative of f(x)=6sqrt(x^3) ?

The derivative of f(x)=6sqrt(x^3) is 9sqrt(x)

What is the first derivative of f(x)=6sqrt(x^3) ?

The first derivative of f(x)=6sqrt(x^3) is 9sqrt(x)

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derivative of

f (x) = 6 x^{3}

9 x

Solution steps

\frac{d}{d x} (6 x^{3})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{3})

Apply radical rule:

= 6 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 6 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

6 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 9 x

= 9 x

\int 5 x^{2} - 7 x + 4 d x

(2 x + 2)^{\frac{1}{4}}

\frac{\partial}{\partial x} (- 6 y^{6} sin (6 x))

\frac{d y}{d x} = 3 x^{2}

What is the derivative of f(x)=6sqrt(x^3) ?
The derivative of f(x)=6sqrt(x^3) is 9sqrt(x)
What is the first derivative of f(x)=6sqrt(x^3) ?
The first derivative of f(x)=6sqrt(x^3) is 9sqrt(x)