What is the derivative of y=3(ln(x)+1) ?

The derivative of y=3(ln(x)+1) is 3/x

What is the first derivative of y=3(ln(x)+1) ?

The first derivative of y=3(ln(x)+1) is 3/x

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derivative of

y = 3 (ln (x) + 1)

\frac{3}{x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= 3 (\frac{1}{x} + 0)

Simplify

3 (\frac{1}{x} + 0) : \frac{3}{x}

= \frac{3}{x}

\frac{d}{d x} (2 cos (5 x))

h \to 0 lim ((1 + \frac{h}{y})^{\frac{1}{h}})

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

n = 1 \sum \infty (\frac{2}{5})^{n}

\frac{sin ( x ^{2} )}{3 x}

What is the derivative of y=3(ln(x)+1) ?
The derivative of y=3(ln(x)+1) is 3/x
What is the first derivative of y=3(ln(x)+1) ?
The first derivative of y=3(ln(x)+1) is 3/x