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Popular >

derivative of ln(4log_{4}(x)+pi^3)

Solution

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

Solution

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

Simplify

ln (4) lo g_{4} (x) + π^{3} : ln (x) + π^{3}

= \frac{d}{d x} (ln (x) + π^{3})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln (x)) + \frac{d}{d x} (π^{3})

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

\frac{d}{d x} (π^{3}) = 0

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

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n = 0 \sum \infty \frac{10}{2 ^{n}}

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Frequently Asked Questions (FAQ)

What is the derivative of ln(4log_{4}(x)+pi^3) ?
The derivative of ln(4log_{4}(x)+pi^3) is 1/x
What is the first derivative of ln(4log_{4}(x)+pi^3) ?
The first derivative of ln(4log_{4}(x)+pi^3) is 1/x