What is the derivative of 4xln(x+10) ?

The derivative of 4xln(x+10) is 4(ln(x)+1)

What is the first derivative of 4xln(x+10) ?

The first derivative of 4xln(x+10) is 4(ln(x)+1)

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\frac{d}{d x} (4 x ln (x) + 10)

4 (ln (x) + 1)

Solution steps

\frac{d}{d x} (4 x ln (x) + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x ln (x)) + \frac{d}{d x} (10)

\frac{d}{d x} (4 x ln (x)) = 4 (ln (x) + 1)

\frac{d}{d x} (10) = 0

= 4 (ln (x) + 1) + 0

Simplify

= 4 (ln (x) + 1)

What is the derivative of 4xln(x+10) ?
The derivative of 4xln(x+10) is 4(ln(x)+1)
What is the first derivative of 4xln(x+10) ?
The first derivative of 4xln(x+10) is 4(ln(x)+1)