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

The derivative of 2/(x+10x+5) is -(22)/((11x+5)^2)

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

The first derivative of 2/(x+10x+5) is -(22)/((11x+5)^2)

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derivative of

\frac{2}{x + 10 x + 5}

- \frac{22}{( 11 x + 5 ) ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 10 x + 5) = 11

= 2 (- \frac{1}{( x + 10 x + 5 ) ^{2}} \cdot 11)

Simplify

2 (- \frac{1}{( x + 10 x + 5 ) ^{2}} \cdot 11) : - \frac{22}{( 11 x + 5 ) ^{2}}

= - \frac{22}{( 11 x + 5 ) ^{2}}

y = (x^{2} + 3 x)^{4}

(1 + x^{3})^{- 1}

2 e^{2} x

\frac{t ^{3}}{3} + \frac{t ^{2}}{2} + 1

1 + lo g_{10} (x)

What is the derivative of 2/(x+10x+5) ?
The derivative of 2/(x+10x+5) is -(22)/((11x+5)^2)
What is the first derivative of 2/(x+10x+5) ?
The first derivative of 2/(x+10x+5) is -(22)/((11x+5)^2)