What is the derivative of 6xln(x+5x) ?

The derivative of 6xln(x+5x) is 6ln(x)+11

What is the first derivative of 6xln(x+5x) ?

The first derivative of 6xln(x+5x) is 6ln(x)+11

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\frac{d}{d x} (6 x ln (x) + 5 x)

6 ln (x) + 11

Solution steps

\frac{d}{d x} (6 x ln (x) + 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x ln (x)) + \frac{d}{d x} (5 x)

\frac{d}{d x} (6 x ln (x)) = 6 (ln (x) + 1)

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

= 6 (ln (x) + 1) + 5

Simplify

6 (ln (x) + 1) + 5 : 6 ln (x) + 11

= 6 ln (x) + 11

f (x) = 2 x^{4} - 4 x^{2} + 6, at x = - 2

\frac{\partial}{\partial z} (tan (1 + 2 x^{2} y^{3} z^{2}))

\int_{- π}^{π} e^{- in x} d x

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

\frac{d}{d x} (\frac{3 x ( 4 - x )}{5 x ^{2}})

What is the derivative of 6xln(x+5x) ?
The derivative of 6xln(x+5x) is 6ln(x)+11
What is the first derivative of 6xln(x+5x) ?
The first derivative of 6xln(x+5x) is 6ln(x)+11