What is the derivative of 3ln(e^x) ?

The derivative of 3ln(e^x) is 3

What is the first derivative of 3ln(e^x) ?

The first derivative of 3ln(e^x) is 3

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derivative of

3 ln (e^{x})

3

Solution steps

\frac{d}{d x} (3 ln (e^{x}))

Simplify

3 ln (e^{x}) : 3 x

= \frac{d}{d x} (3 x)

Take the constant out:

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

= 3 \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 3 \cdot 1

Simplify

= 3

y = sin^{3} (1 - 2 x)

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

\frac{1}{sin ( x - y )}

(x + 1) (x - 2)^{2}

f (x) = cos^{4} (x) - 2 x^{2}

What is the derivative of 3ln(e^x) ?
The derivative of 3ln(e^x) is 3
What is the first derivative of 3ln(e^x) ?
The first derivative of 3ln(e^x) is 3