What is the derivative of f(x)=3xln(5x)-3x ?

The derivative of f(x)=3xln(5x)-3x is 3ln(5x)

What is the first derivative of f(x)=3xln(5x)-3x ?

The first derivative of f(x)=3xln(5x)-3x is 3ln(5x)

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derivative of

f (x) = 3 x ln (5 x) - 3 x

3 ln (5 x)

Solution steps

\frac{d}{d x} (3 x ln (5 x) - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x ln (5 x)) - \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x ln (5 x)) = 3 (ln (5 x) + 1)

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

= 3 (ln (5 x) + 1) - 3

Simplify

3 (ln (5 x) + 1) - 3 : 3 ln (5 x)

= 3 ln (5 x)

What is the derivative of f(x)=3xln(5x)-3x ?
The derivative of f(x)=3xln(5x)-3x is 3ln(5x)
What is the first derivative of f(x)=3xln(5x)-3x ?
The first derivative of f(x)=3xln(5x)-3x is 3ln(5x)