What is the derivative of (11)/((9x+11)^2) ?

The derivative of (11)/((9x+11)^2) is -(198)/((9x+11)^3)

What is the first derivative of (11)/((9x+11)^2) ?

The first derivative of (11)/((9x+11)^2) is -(198)/((9x+11)^3)

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derivative of

\frac{11}{( 9 x + 11 ) ^{2}}

- \frac{198}{( 9 x + 11 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{11}{( 9 x + 11 ) ^{2}})

Take the constant out:

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

= 11 \frac{d}{d x} (\frac{1}{( 9 x + 11 ) ^{2}})

Apply exponent rule:

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

= 11 \frac{d}{d x} ((9 x + 11)^{- 2})

Apply the chain rule:

- \frac{2}{( 9 x + 11 ) ^{3}} \frac{d}{d x} (9 x + 11)

= - \frac{2}{( 9 x + 11 ) ^{3}} \frac{d}{d x} (9 x + 11)

\frac{d}{d x} (9 x + 11) = 9

= 11 (- \frac{2}{( 9 x + 11 ) ^{3}} \cdot 9)

Simplify

11 (- \frac{2}{( 9 x + 11 ) ^{3}} \cdot 9) : - \frac{198}{( 9 x + 11 ) ^{3}}

= - \frac{198}{( 9 x + 11 ) ^{3}}

\frac{\partial}{\partial x} (\frac{y}{( y + x ) ^{2}})

\frac{d}{d x} (x e^{4 x} + cos (2 x))

\frac{d y}{d x} = y^{2} - 16

x \to 0 lim (f (x) - g (x))

x \to 3 - lim (e^{\frac{7}{x - 3}})

What is the derivative of (11)/((9x+11)^2) ?
The derivative of (11)/((9x+11)^2) is -(198)/((9x+11)^3)
What is the first derivative of (11)/((9x+11)^2) ?
The first derivative of (11)/((9x+11)^2) is -(198)/((9x+11)^3)