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

The derivative of 2/((x+2^2)) is -4/((x+2)^3)

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

The first derivative of 2/((x+2^2)) is -4/((x+2)^3)

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

- \frac{4}{( x + 2 ) ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

2 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1) : - \frac{4}{( x + 2 ) ^{3}}

= - \frac{4}{( x + 2 ) ^{3}}

n = 1 \sum \infty 0. 9^{n} n^{3}

\int_{10}^{13} 2 x d x

y = x^{2} e^{- x}

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

y = 4 x - 3 x^{2}

What is the derivative of 2/((x+2^2)) ?
The derivative of 2/((x+2^2)) is -4/((x+2)^3)
What is the first derivative of 2/((x+2^2)) ?
The first derivative of 2/((x+2^2)) is -4/((x+2)^3)