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

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

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

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

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derivative of

5 x ln (3 x) - 5 x

5 ln (3 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x) = 5

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

Simplify

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

= 5 ln (3 x)

\frac{df}{d x} x = x^{3}

\int \frac{( 2 x ^{2} - 1 )}{x - x ^{3}} d x

\frac{d}{d x} (sin (tan (x^{5})))

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