(ln(x^3))^'

Solution

(ln (x^{3}))^{^{'}}

\frac{3}{x}

Solution steps

(ln (x^{3}))^{'}

Apply the chain rule:

\frac{1}{x ^{3}} (x^{3})^{'}

= \frac{1}{x ^{3}} (x^{3})^{'}

(x^{3})^{'} = 3 x^{2}

= \frac{1}{x ^{3}} \cdot 3 x^{2}

Simplify

\frac{1}{x ^{3}} \cdot 3 x^{2} : \frac{3}{x}

= \frac{3}{x}

in v erse l a pl a ce \frac{1}{( s - 1 ) ( s ^{2} - 1 )}

\int \frac{( x ^{3} + 64 )}{x ^{2} + 64} d x

\int_{0}^{7} 1

d er i v a t i v e (x (x^{2} + 4))^{\frac{1}{3}}

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