What is the derivative of (-4)/((7x^5+6)^6) ?

The derivative of (-4)/((7x^5+6)^6) is (840x^4)/((7x^5+6)^7)

What is the first derivative of (-4)/((7x^5+6)^6) ?

The first derivative of (-4)/((7x^5+6)^6) is (840x^4)/((7x^5+6)^7)

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derivative of

\frac{- 4}{( 7 x ^{5} + 6 ) ^{6}}

\frac{840 x ^{4}}{( 7 x ^{5} + 6 ) ^{7}}

Solution steps

\frac{d}{d x} (\frac{- 4}{( 7 x ^{5} + 6 ) ^{6}})

Simplify

\frac{- 4}{( 7 x ^{5} + 6 ) ^{6}} : - \frac{4}{( 7 x ^{5} + 6 ) ^{6}}

= \frac{d}{d x} (- \frac{4}{( 7 x ^{5} + 6 ) ^{6}})

Take the constant out:

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

= - 4 \frac{d}{d x} (\frac{1}{( 7 x ^{5} + 6 ) ^{6}})

Apply exponent rule:

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

= - 4 \frac{d}{d x} ((7 x^{5} + 6)^{- 6})

Apply the chain rule:

- \frac{6}{( 7 x ^{5} + 6 ) ^{7}} \frac{d}{d x} (7 x^{5} + 6)

= - \frac{6}{( 7 x ^{5} + 6 ) ^{7}} \frac{d}{d x} (7 x^{5} + 6)

\frac{d}{d x} (7 x^{5} + 6) = 35 x^{4}

= - 4 (- \frac{6}{( 7 x ^{5} + 6 ) ^{7}} \cdot 35 x^{4})

Simplify

- 4 (- \frac{6}{( 7 x ^{5} + 6 ) ^{7}} \cdot 35 x^{4}) : \frac{840 x ^{4}}{( 7 x ^{5} + 6 ) ^{7}}

= \frac{840 x ^{4}}{( 7 x ^{5} + 6 ) ^{7}}

10 t

y^{^{'}} = - 6.2 - 1.8 y

y = \frac{18}{x ^{4}}

\frac{d}{d x} (cos (e^{x^{4} c o s (x)}))

x \to 0 lim (\frac{2 ∣ x ∣}{3 x})

What is the derivative of (-4)/((7x^5+6)^6) ?
The derivative of (-4)/((7x^5+6)^6) is (840x^4)/((7x^5+6)^7)
What is the first derivative of (-4)/((7x^5+6)^6) ?
The first derivative of (-4)/((7x^5+6)^6) is (840x^4)/((7x^5+6)^7)