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

The derivative of-5/(7x+5) is (35)/((7x+5)^2)

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

The first derivative of-5/(7x+5) is (35)/((7x+5)^2)

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derivative of

- \frac{5}{7 x + 5}

\frac{35}{( 7 x + 5 ) ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

- \frac{1}{( 7 x + 5 ) ^{2}} \frac{d}{d x} (7 x + 5)

= - \frac{1}{( 7 x + 5 ) ^{2}} \frac{d}{d x} (7 x + 5)

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

= - 5 (- \frac{1}{( 7 x + 5 ) ^{2}} \cdot 7)

Simplify

- 5 (- \frac{1}{( 7 x + 5 ) ^{2}} \cdot 7) : \frac{35}{( 7 x + 5 ) ^{2}}

= \frac{35}{( 7 x + 5 ) ^{2}}

x \to 0 + lim ((1 + \frac{1}{x})^{x})

\int sin (π t) d t

x \to \infty lim (\frac{x}{e})

\int cos^{3} (\frac{x}{20}) d x

y^{^{''}} - 4 y^{^{'}} = 0

What is the derivative of-5/(7x+5) ?
The derivative of-5/(7x+5) is (35)/((7x+5)^2)
What is the first derivative of-5/(7x+5) ?
The first derivative of-5/(7x+5) is (35)/((7x+5)^2)