What is the derivative of e*ln(x) ?

The derivative of e*ln(x) is e/x

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

The first derivative of e*ln(x) is e/x

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\frac{d}{d x} (e \cdot ln (x))

\frac{e}{x}

Solution steps

\frac{d}{d x} (e ln (x))

Take the constant out:

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

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

Apply the common derivative:

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

= e \frac{1}{x}

Simplify

e \frac{1}{x} : \frac{e}{x}

= \frac{e}{x}

\int e^{x + 5} (x^{2} + 3) d x

\frac{d}{d x} ((x^{2} + 5 x + 1) (x^{3} - 2 x))

y^{^{'}} + 4 y = - 1

\frac{d y}{d x} = \frac{y - y}{tan ( x )}

\int 8 sec^{3} (5 x) d x

What is the derivative of e*ln(x) ?
The derivative of e*ln(x) is e/x
What is the first derivative of e*ln(x) ?
The first derivative of e*ln(x) is e/x