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Popular >

derivative of ln((2x+5^3))

Solution

\frac{d}{d x} (ln ((2 x + 5)^{3}))

Solution

\frac{6}{2 x + 5}

Solution steps

\frac{d}{d x} (ln ((2 x + 5)^{3}))

Apply the chain rule:

\frac{1}{( 2 x + 5 ) ^{3}} \frac{d}{d x} ((2 x + 5)^{3})

= \frac{1}{( 2 x + 5 ) ^{3}} \frac{d}{d x} ((2 x + 5)^{3})

\frac{d}{d x} ((2 x + 5)^{3}) = 6 (2 x + 5)^{2}

= \frac{1}{( 2 x + 5 ) ^{3}} \cdot 6 (2 x + 5)^{2}

Simplify

\frac{1}{( 2 x + 5 ) ^{3}} \cdot 6 (2 x + 5)^{2} : \frac{6}{2 x + 5}

= \frac{6}{2 x + 5}

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x \to \infty lim (∣ x - 5 ∣)

(\partial)/(\partial x)(1/(x+t+1))

\frac{\partial}{\partial x} (\frac{1}{x + t + 1})

y^{^{'}} = \frac{2 x}{y + 1}

derivative of arcsech(x)

\frac{d}{d x} (arcsech (x))

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Frequently Asked Questions (FAQ)

What is the derivative of ln((2x+5^3)) ?
The derivative of ln((2x+5^3)) is 6/(2x+5)
What is the first derivative of ln((2x+5^3)) ?
The first derivative of ln((2x+5^3)) is 6/(2x+5)