What is the derivative of 3x^3ln(x^2) ?

The derivative of 3x^3ln(x^2) is 3(3x^2ln(x^2)+2x^2)

What is the first derivative of 3x^3ln(x^2) ?

The first derivative of 3x^3ln(x^2) is 3(3x^2ln(x^2)+2x^2)

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derivative of

3 x^{3} ln (x^{2})

3 (3 x^{2} ln (x^{2}) + 2 x^{2})

Solution steps

\frac{d}{d x} (3 x^{3} ln (x^{2}))

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = ln (x^{2})

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

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

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

= 3 (3 x^{2} ln (x^{2}) + \frac{2}{x} x^{3})

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

= 3 (3 x^{2} ln (x^{2}) + 2 x^{2})

n = 0 \sum \infty 0

\int x + x^{2} d x

y = 5 x^{4} + 3 x - 6, (1, 2)

\frac{\partial}{\partial y} (\frac{5 x y}{10 x - y})

\int_{- 8}^{8} (64 - x^{2}) d x

What is the derivative of 3x^3ln(x^2) ?
The derivative of 3x^3ln(x^2) is 3(3x^2ln(x^2)+2x^2)
What is the first derivative of 3x^3ln(x^2) ?
The first derivative of 3x^3ln(x^2) is 3(3x^2ln(x^2)+2x^2)