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Popular >

derivative of 3ln(x+1)

Solution

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

Solution

\frac{3}{x + 1}

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 chain rule:

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

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

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

= 3 \cdot \frac{1}{x + 1} \cdot 1

Simplify

3 \cdot \frac{1}{x + 1} \cdot 1 : \frac{3}{x + 1}

= \frac{3}{x + 1}

Popular Examples

derivative of sqrt(35x)ln(13x)

\frac{d}{d x} (35 x ln (13 x))

(\partial)/(\partial x)(-3xy^2)

\frac{\partial}{\partial x} (- 3 x y^{2})

limit as x approaches 0-of 2/x-2/(|x|)

x \to 0 - lim (\frac{2}{x} - \frac{2}{∣ x ∣})

derivative of 6x^5-20x^4+20x^3-10x+4

\frac{d}{d x} (6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4)

integral from 0 to 1 of pi(2-1/2 x)^2

\int_{0}^{1} π (2 - \frac{1}{2} x)^{2} d x

Frequently Asked Questions (FAQ)

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