What is the derivative of (ln(x-5-2)^2) ?

The derivative of (ln(x-5-2)^2) is (2(ln(x-5)-2))/(x-5)

What is the first derivative of (ln(x-5-2)^2) ?

The first derivative of (ln(x-5-2)^2) is (2(ln(x-5)-2))/(x-5)

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\frac{d}{d x} ((ln (x - 5) - 2)^{2})

\frac{2 ( ln ( x - 5 ) - 2 )}{x - 5}

Solution steps

\frac{d}{d x} ((ln (x - 5) - 2)^{2})

Apply the chain rule:

2 (ln (x - 5) - 2) \frac{d}{d x} (ln (x - 5) - 2)

= 2 (ln (x - 5) - 2) \frac{d}{d x} (ln (x - 5) - 2)

\frac{d}{d x} (ln (x - 5) - 2) = \frac{1}{x - 5}

= 2 (ln (x - 5) - 2) \frac{1}{x - 5}

Simplify

2 (ln (x - 5) - 2) \frac{1}{x - 5} : \frac{2 ( ln ( x - 5 ) - 2 )}{x - 5}

= \frac{2 ( ln ( x - 5 ) - 2 )}{x - 5}

\frac{d y}{d x} = \frac{3 cos ( x )}{e ^{2 y}}

\int \frac{in x}{x} d x

y = - 2

\frac{\partial}{\partial x} (π x)

f^{^{''}} (x) = 6 x + 12 x^{2}

What is the derivative of (ln(x-5-2)^2) ?
The derivative of (ln(x-5-2)^2) is (2(ln(x-5)-2))/(x-5)
What is the first derivative of (ln(x-5-2)^2) ?
The first derivative of (ln(x-5-2)^2) is (2(ln(x-5)-2))/(x-5)