What is the derivative of 4x-3ln(x) ?

The derivative of 4x-3ln(x) is 4-3/x

What is the first derivative of 4x-3ln(x) ?

The first derivative of 4x-3ln(x) is 4-3/x

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\frac{d}{d x} (4 x - 3 ln (x))

4 - \frac{3}{x}

Solution steps

\frac{d}{d x} (4 x - 3 ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (3 ln (x))

\frac{d}{d x} (4 x) = 4

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

= 4 - \frac{3}{x}

What is the derivative of 4x-3ln(x) ?
The derivative of 4x-3ln(x) is 4-3/x
What is the first derivative of 4x-3ln(x) ?
The first derivative of 4x-3ln(x) is 4-3/x