What is the derivative of (686/((1+7x)^3)) ?

The derivative of (686/((1+7x)^3)) is -(14406)/((1+7x)^4)

What is the first derivative of (686/((1+7x)^3)) ?

The first derivative of (686/((1+7x)^3)) is -(14406)/((1+7x)^4)

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\frac{d}{d x} (\frac{686}{( 1 + 7 x ) ^{3}})

- \frac{14406}{( 1 + 7 x ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{686}{( 1 + 7 x ) ^{3}})

Take the constant out:

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

= 686 \frac{d}{d x} (\frac{1}{( 1 + 7 x ) ^{3}})

Apply exponent rule:

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

= 686 \frac{d}{d x} ((1 + 7 x)^{- 3})

Apply the chain rule:

- \frac{3}{( 1 + 7 x ) ^{4}} \frac{d}{d x} (1 + 7 x)

= - \frac{3}{( 1 + 7 x ) ^{4}} \frac{d}{d x} (1 + 7 x)

\frac{d}{d x} (1 + 7 x) = 7

= 686 (- \frac{3}{( 1 + 7 x ) ^{4}} \cdot 7)

Simplify

686 (- \frac{3}{( 1 + 7 x ) ^{4}} \cdot 7) : - \frac{14406}{( 1 + 7 x ) ^{4}}

= - \frac{14406}{( 1 + 7 x ) ^{4}}

y = 2 cos (2 x)

(x + 1)^{l n (x)}

\int \frac{x ^{2}}{16 - 25 x ^{2}} d x

\int \frac{( 16 x )}{( x ^{2} - 9 ) ^{5}} d x

x^{2} - \frac{x}{5}

What is the derivative of (686/((1+7x)^3)) ?
The derivative of (686/((1+7x)^3)) is -(14406)/((1+7x)^4)
What is the first derivative of (686/((1+7x)^3)) ?
The first derivative of (686/((1+7x)^3)) is -(14406)/((1+7x)^4)