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Popular >

derivative of-ln(1+6x)

Solution

\frac{d}{d x} (- ln (1 + 6 x))

Solution

- \frac{6}{1 + 6 x}

Solution steps

\frac{d}{d x} (- ln (1 + 6 x))

Take the constant out:

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

= - \frac{d}{d x} (ln (1 + 6 x))

Apply the chain rule:

\frac{1}{1 + 6 x} \frac{d}{d x} (1 + 6 x)

= \frac{1}{1 + 6 x} \frac{d}{d x} (1 + 6 x)

\frac{d}{d x} (1 + 6 x) = 6

= - \frac{1}{1 + 6 x} \cdot 6

Simplify

- \frac{1}{1 + 6 x} \cdot 6 : - \frac{6}{1 + 6 x}

= - \frac{6}{1 + 6 x}

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\frac{\partial}{\partial x} (cos^{n} (x))

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\int_{0.5}^{1} \frac{4}{9} x (5 - x^{2}) d x

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x \to 0 - lim (- 2 x^{2} + 2 x)

integral of 3/(x(x-3)^2)

\int \frac{3}{x ( x - 3 ) ^{2}} d x

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\int sec^{2} (y) d y

Frequently Asked Questions (FAQ)

What is the derivative of-ln(1+6x) ?
The derivative of-ln(1+6x) is -6/(1+6x)
What is the first derivative of-ln(1+6x) ?
The first derivative of-ln(1+6x) is -6/(1+6x)