What is the derivative of 1/((x+4)^3) ?

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

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

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

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derivative of

\frac{1}{( x + 4 ) ^{3}}

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

Solution steps

\frac{d}{d x} (\frac{1}{( x + 4 ) ^{3}})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

f (t) = \frac{t ^{2} - 1}{t ^{2} + t - 2}

\frac{d}{d x} (9 x^{2} - 12 x + 20 a)

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

e^{c o s^{2} (x)}

4 x^{3} + 6 x^{2} - x + 4

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