What is the derivative of 8ln(x) ?

The derivative of 8ln(x) is 8/x

What is the first derivative of 8ln(x) ?

The first derivative of 8ln(x) is 8/x

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derivative of

8 ln (x)

\frac{8}{x}

Solution steps

\frac{d}{d x} (8 ln (x))

Take the constant out:

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

= 8 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 8 \cdot \frac{1}{x}

Simplify

8 \cdot \frac{1}{x} : \frac{8}{x}

= \frac{8}{x}

\frac{d}{d x} (e^{x^{2} + 1})

y^{^{'}} = 20 - 5 y

\int sin^{2} (x) x d x

y^{^{'}} = - a y + b

f (x) = 2 x^{2} + x - 1, at x = - 2