What is the derivative of (x^2dx) ?

The derivative of (x^2dx) is 3x^2d

What is the first derivative of (x^2dx) ?

The first derivative of (x^2dx) is 3x^2d

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

3 x^{2} d

Solution steps

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

Simplify

(x^{2}) d x : x^{3} d

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

Treat

d

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= d \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} d

x \to - 3 lim (\frac{x ^{2} + x}{x + 3})

\int 3 y^{3} e^{x y} d x

\int x^{2} e^{2 x + 1} d x

f (x) = - 3 x^{2} - 5, at x = 0

\frac{d}{d x} (\frac{x - 1}{x - 2})

What is the derivative of (x^2dx) ?
The derivative of (x^2dx) is 3x^2d
What is the first derivative of (x^2dx) ?
The first derivative of (x^2dx) is 3x^2d