What is the derivative of (10/((x+5)^2)) ?

The derivative of (10/((x+5)^2)) is -(20)/((x+5)^3)

What is the first derivative of (10/((x+5)^2)) ?

The first derivative of (10/((x+5)^2)) is -(20)/((x+5)^3)

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\frac{d}{d x} (\frac{10}{( x + 5 ) ^{2}})

- \frac{20}{( x + 5 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{10}{( x + 5 ) ^{2}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{( x + 5 ) ^{2}})

Apply exponent rule:

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

= 10 \frac{d}{d x} ((x + 5)^{- 2})

Apply the chain rule:

- \frac{2}{( x + 5 ) ^{3}} \frac{d}{d x} (x + 5)

= - \frac{2}{( x + 5 ) ^{3}} \frac{d}{d x} (x + 5)

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

= 10 (- \frac{2}{( x + 5 ) ^{3}} \cdot 1)

Simplify

10 (- \frac{2}{( x + 5 ) ^{3}} \cdot 1) : - \frac{20}{( x + 5 ) ^{3}}

= - \frac{20}{( x + 5 ) ^{3}}

x \cdot sin (x)

\int \frac{3 ( - 5 + ln ( 4 x ) ) ^{3}}{x} d x

f (x) = x^{2} - 9 x + 18, 4, at x = 3

\frac{d}{d x} (\frac{x}{( 3 x - 8 ) ^{8}})

\frac{4 s}{s ^{2} + 16}

What is the derivative of (10/((x+5)^2)) ?
The derivative of (10/((x+5)^2)) is -(20)/((x+5)^3)
What is the first derivative of (10/((x+5)^2)) ?
The first derivative of (10/((x+5)^2)) is -(20)/((x+5)^3)