What is the derivative of (98/((7x-13)^3)) ?

The derivative of (98/((7x-13)^3)) is -(2058)/((7x-13)^4)

What is the first derivative of (98/((7x-13)^3)) ?

The first derivative of (98/((7x-13)^3)) is -(2058)/((7x-13)^4)

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\frac{d}{d x} (\frac{98}{( 7 x - 13 ) ^{3}})

- \frac{2058}{( 7 x - 13 ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{98}{( 7 x - 13 ) ^{3}})

Take the constant out:

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

= 98 \frac{d}{d x} (\frac{1}{( 7 x - 13 ) ^{3}})

Apply exponent rule:

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

= 98 \frac{d}{d x} ((7 x - 13)^{- 3})

Apply the chain rule:

- \frac{3}{( 7 x - 13 ) ^{4}} \frac{d}{d x} (7 x - 13)

= - \frac{3}{( 7 x - 13 ) ^{4}} \frac{d}{d x} (7 x - 13)

\frac{d}{d x} (7 x - 13) = 7

= 98 (- \frac{3}{( 7 x - 13 ) ^{4}} \cdot 7)

Simplify

98 (- \frac{3}{( 7 x - 13 ) ^{4}} \cdot 7) : - \frac{2058}{( 7 x - 13 ) ^{4}}

= - \frac{2058}{( 7 x - 13 ) ^{4}}

What is the derivative of (98/((7x-13)^3)) ?
The derivative of (98/((7x-13)^3)) is -(2058)/((7x-13)^4)
What is the first derivative of (98/((7x-13)^3)) ?
The first derivative of (98/((7x-13)^3)) is -(2058)/((7x-13)^4)