What is the derivative of y= 7/((6x)^6) ?

The derivative of y= 7/((6x)^6) is -7/(7776x^7)

What is the first derivative of y= 7/((6x)^6) ?

The first derivative of y= 7/((6x)^6) is -7/(7776x^7)

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derivative of

y = \frac{7}{( 6 x ) ^{6}}

- \frac{7}{7776 x ^{7}}

Solution steps

\frac{d}{d x} (\frac{7}{( 6 x ) ^{6}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (\frac{1}{( 6 x ) ^{6}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 7 \frac{d}{d x} ((6 x)^{- 6})

Apply the chain rule:

- \frac{6}{( 6 x ) ^{7}} \frac{d}{d x} (6 x)

= - \frac{6}{( 6 x ) ^{7}} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= 7 (- \frac{6}{( 6 x ) ^{7}} \cdot 6)

Simplify

7 (- \frac{6}{( 6 x ) ^{7}} \cdot 6) : - \frac{7}{7776 x ^{7}}

= - \frac{7}{7776 x ^{7}}

4 x, 64 - x^{2}, [0, 6.928]

x \to 69.9 lim (\frac{ln ( \frac{x - 70}{230} )}{- 0.19})

y = x^{2} - 12, y = 11 x

\frac{d}{d x} (\frac{x ^{2}}{x - 11})

y = \frac{2}{4 x}, (4, 4)

What is the derivative of y= 7/((6x)^6) ?
The derivative of y= 7/((6x)^6) is -7/(7776x^7)
What is the first derivative of y= 7/((6x)^6) ?
The first derivative of y= 7/((6x)^6) is -7/(7776x^7)