What is the derivative of x^2Inx ?

The derivative of x^2Inx is 3nx^2I

What is the first derivative of x^2Inx ?

The first derivative of x^2Inx is 3nx^2I

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\frac{d}{d x} (x^{2} I n x)

3 n x^{2} I

Solution steps

\frac{d}{d x} (x^{2} I n x)

Simplify

x^{2} I n x : n x^{3} I

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

Treat

n, I

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= n I \cdot 3 x^{3 - 1}

Simplify

= 3 n x^{2} I

n \to \infty lim (- \frac{1}{n})

\int \frac{3 x ^{2} + 1}{x ( x - 1 ) ^{3}} d x

\int x (x + 5)^{4} d x

\int cos^{(3)} (5 x) sin^{- 2} (5 x) d x

\frac{\partial}{\partial x} (e^{x^{5}})

What is the derivative of x^2Inx ?
The derivative of x^2Inx is 3nx^2I
What is the first derivative of x^2Inx ?
The first derivative of x^2Inx is 3nx^2I