What is the derivative of 1/((x+4^2)) ?

The derivative of 1/((x+4^2)) is -2/((x+4)^3)

What is the first derivative of 1/((x+4^2)) ?

The first derivative of 1/((x+4^2)) is -2/((x+4)^3)

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Popular >

\frac{d}{d x} (\frac{1}{( x + 4 ) ^{2}})

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

Solution steps

\frac{d}{d x} (\frac{1}{( x + 4 ) ^{2}})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 4) = 1

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

Simplify

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

\frac{d}{d x} (sin (2) x)

n = 0 \sum \infty (ln (3))^{n}

\int \frac{1}{( x - 9 ) ( x ^{2} + 16 )} d x

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

(6 - 2 x^{2})^{3}

What is the derivative of 1/((x+4^2)) ?
The derivative of 1/((x+4^2)) is -2/((x+4)^3)
What is the first derivative of 1/((x+4^2)) ?
The first derivative of 1/((x+4^2)) is -2/((x+4)^3)