What is the derivative of 5x^3+2ln(x) ?

The derivative of 5x^3+2ln(x) is 15x^2+2/x

What is the first derivative of 5x^3+2ln(x) ?

The first derivative of 5x^3+2ln(x) is 15x^2+2/x

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\frac{d}{d x} (5 x^{3} + 2 ln (x))

15 x^{2} + \frac{2}{x}

Solution steps

\frac{d}{d x} (5 x^{3} + 2 ln (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (2 ln (x))

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{2} + \frac{2}{x}

What is the derivative of 5x^3+2ln(x) ?
The derivative of 5x^3+2ln(x) is 15x^2+2/x
What is the first derivative of 5x^3+2ln(x) ?
The first derivative of 5x^3+2ln(x) is 15x^2+2/x