What is the derivative of x^3Inx ?

The derivative of x^3Inx is 4nx^3I

What is the first derivative of x^3Inx ?

The first derivative of x^3Inx is 4nx^3I

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\frac{d}{d x} (x^{3} I n x)

4 n x^{3} I

Solution steps

\frac{d}{d x} (x^{3} I n x)

Simplify

x^{3} I n x : n x^{4} I

= \frac{d}{d x} (n x^{4} I)

Treat

n, I

as a constant

Take the constant out:

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

= n I \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= n I \cdot 4 x^{4 - 1}

Simplify

= 4 n x^{3} I

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\int 0.2 x^{2} d x

What is the derivative of x^3Inx ?
The derivative of x^3Inx is 4nx^3I
What is the first derivative of x^3Inx ?
The first derivative of x^3Inx is 4nx^3I