What is the derivative of (log_{4}(x))^{10} ?

The derivative of (log_{4}(x))^{10} is (5log_{4}(x)^9)/(ln(2)x)

What is the first derivative of (log_{4}(x))^{10} ?

The first derivative of (log_{4}(x))^{10} is (5log_{4}(x)^9)/(ln(2)x)

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derivative of

(lo g_{4} (x))^{10}

\frac{5 lo g _{4} ( x ) ^{9}}{ln ( 2 ) x}

Solution steps

\frac{d}{d x} ((lo g_{4} (x))^{10})

Apply the chain rule:

10 (lo g_{4} (x))^{9} \frac{d}{d x} (lo g_{4} (x))

= 10 (lo g_{4} (x))^{9} \frac{d}{d x} (lo g_{4} (x))

\frac{d}{d x} (lo g_{4} (x)) = \frac{1}{2 ln ( 2 ) x}

= 10 (lo g_{4} (x))^{9} \frac{1}{2 ln ( 2 ) x}

Simplify

10 lo g_{4} (x)^{9} \frac{1}{2 ln ( 2 ) x} : \frac{5 lo g _{4} ( x ) ^{9}}{ln ( 2 ) x}

= \frac{5 lo g _{4} ( x ) ^{9}}{ln ( 2 ) x}

\frac{\partial}{\partial v} (w^{2} sin (v))

\int 21 + 4 x - x^{2} d x

x \to 4 lim (\frac{3 x - 12}{x - 4})

y = 2 x^{2} + 10, y = 4 x + 16

(x^{9} - x^{\frac{1}{6}}) 6^{x}

What is the derivative of (log_{4}(x))^{10} ?
The derivative of (log_{4}(x))^{10} is (5log_{4}(x)^9)/(ln(2)x)
What is the first derivative of (log_{4}(x))^{10} ?
The first derivative of (log_{4}(x))^{10} is (5log_{4}(x)^9)/(ln(2)x)