What is the derivative of ln(7x^5) ?

The derivative of ln(7x^5) is 5/x

What is the first derivative of ln(7x^5) ?

The first derivative of ln(7x^5) is 5/x

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\frac{d}{d x} (ln (7 x^{5}))

\frac{5}{x}

Solution steps

\frac{d}{d x} (ln (7 x^{5}))

Apply the chain rule:

\frac{1}{7 x ^{5}} \frac{d}{d x} (7 x^{5})

= \frac{1}{7 x ^{5}} \frac{d}{d x} (7 x^{5})

\frac{d}{d x} (7 x^{5}) = 35 x^{4}

= \frac{1}{7 x ^{5}} \cdot 35 x^{4}

Simplify

\frac{1}{7 x ^{5}} \cdot 35 x^{4} : \frac{5}{x}

= \frac{5}{x}

\frac{d}{d x} (\frac{x e ^{x} - 9 x}{e ^{x}})

9 x^{- 4} - 9 x^{- 1}

\int_{- \infty}^{1} 5^{x} d x

x^{^{''}} + 9 x - 27 = 0

\int_{3}^{5} \frac{2}{4 + ( x - 3 ) ^{2}} d x

What is the derivative of ln(7x^5) ?
The derivative of ln(7x^5) is 5/x
What is the first derivative of ln(7x^5) ?
The first derivative of ln(7x^5) is 5/x