What is the derivative of-7ln(x) ?

The derivative of-7ln(x) is -7/x

What is the first derivative of-7ln(x) ?

The first derivative of-7ln(x) is -7/x

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\frac{d}{d x} (- 7 ln (x))

- \frac{7}{x}

Solution steps

\frac{d}{d x} (- 7 ln (x))

Take the constant out:

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

= - 7 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= - 7 \cdot \frac{1}{x}

Simplify

- 7 \cdot \frac{1}{x} : - \frac{7}{x}

= - \frac{7}{x}

\int (sin^{4} (x)) d x

x \to 1 lim (2 x^{2} - 4 x + 7)

\frac{10}{16 s ^{2} + 5 s + 1}

\frac{\partial}{\partial x} (x^{2} + 4 y^{2} + 5 z^{2})

f (x) = \frac{7}{10} x^{2} + 4 x^{3}