What is the derivative of 6/((3-4x^5)) ?

The derivative of 6/((3-4x^5)) is (120)/((3-4x)^6)

What is the first derivative of 6/((3-4x^5)) ?

The first derivative of 6/((3-4x^5)) is (120)/((3-4x)^6)

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\frac{d}{d x} (\frac{6}{( 3 - 4 x ) ^{5}})

\frac{120}{( 3 - 4 x ) ^{6}}

Solution steps

\frac{d}{d x} (\frac{6}{( 3 - 4 x ) ^{5}})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{( 3 - 4 x ) ^{5}})

Apply exponent rule:

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

= 6 \frac{d}{d x} ((3 - 4 x)^{- 5})

Apply the chain rule:

- \frac{5}{( 3 - 4 x ) ^{6}} \frac{d}{d x} (3 - 4 x)

= - \frac{5}{( 3 - 4 x ) ^{6}} \frac{d}{d x} (3 - 4 x)

\frac{d}{d x} (3 - 4 x) = - 4

= 6 (- \frac{5}{( 3 - 4 x ) ^{6}} (- 4))

Simplify

6 (- \frac{5}{( 3 - 4 x ) ^{6}} (- 4)) : \frac{120}{( 3 - 4 x ) ^{6}}

= \frac{120}{( 3 - 4 x ) ^{6}}

x y^{2}

x \to 2 lim (\frac{sin ( 4 x - 8 )}{3 x - 6})

\frac{d}{d x} (\frac{( e ^{x} )}{x})

f (x) = e^{x 7 x + 6}

\frac{7}{2 s ^{2 + 8}}

What is the derivative of 6/((3-4x^5)) ?
The derivative of 6/((3-4x^5)) is (120)/((3-4x)^6)
What is the first derivative of 6/((3-4x^5)) ?
The first derivative of 6/((3-4x^5)) is (120)/((3-4x)^6)