What is the derivative of 3x^2ln(7x) ?

The derivative of 3x^2ln(7x) is 3(2xln(7x)+x)

What is the first derivative of 3x^2ln(7x) ?

The first derivative of 3x^2ln(7x) is 3(2xln(7x)+x)

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derivative of

3 x^{2} ln (7 x)

3 (2 x ln (7 x) + x)

Solution steps

\frac{d}{d x} (3 x^{2} ln (7 x))

Take the constant out:

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

= 3 \frac{d}{d x} (x^{2} ln (7 x))

Apply the Product Rule:

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

f = x^{2}, g = ln (7 x)

= 3 (\frac{d}{d x} (x^{2}) ln (7 x) + \frac{d}{d x} (ln (7 x)) x^{2})

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

\frac{d}{d x} (ln (7 x)) = \frac{1}{x}

= 3 (2 x ln (7 x) + \frac{1}{x} x^{2})

\frac{1}{x} x^{2} = x

= 3 (2 x ln (7 x) + x)

x y^{^{'}} + 2 y = x + 2

\int \frac{1}{tan ^{2} ( θ )} sec^{2} (θ) d θ

25 - x^{2}, x^{2} - 25, - 5, 5

\int sec^{2} (\frac{x}{a}) d x

\int_{\frac{1}{2}}^{3} 8 x ln (2 x) d x

What is the derivative of 3x^2ln(7x) ?
The derivative of 3x^2ln(7x) is 3(2xln(7x)+x)
What is the first derivative of 3x^2ln(7x) ?
The first derivative of 3x^2ln(7x) is 3(2xln(7x)+x)