What is the derivative of a*x+ln(x) ?

The derivative of a*x+ln(x) is a+1/x

What is the first derivative of a*x+ln(x) ?

The first derivative of a*x+ln(x) is a+1/x

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\frac{d}{d x} (a \cdot x + ln (x))

a + \frac{1}{x}

Solution steps

\frac{d}{d x} (a x + ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a x) + \frac{d}{d x} (ln (x))

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

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

= a + \frac{1}{x}

x \cdot \frac{d y}{d x} = 6 y

\int_{0}^{\frac{11}{12}} 22 x d x

\frac{d y}{d x} = sin (11 x)

\frac{d}{d x} (2 - 9 x)

y^{^{''}} - 2 y = 9 x e^{- x} - 6 x^{2} + 4 e^{2 x}

What is the derivative of a*x+ln(x) ?
The derivative of a*x+ln(x) is a+1/x
What is the first derivative of a*x+ln(x) ?
The first derivative of a*x+ln(x) is a+1/x