What is the derivative of-(72/((x+2)^4)) ?

The derivative of-(72/((x+2)^4)) is (288)/((x+2)^5)

What is the first derivative of-(72/((x+2)^4)) ?

The first derivative of-(72/((x+2)^4)) is (288)/((x+2)^5)

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\frac{d}{d x} (- \frac{72}{( x + 2 ) ^{4}})

\frac{288}{( x + 2 ) ^{5}}

Solution steps

\frac{d}{d x} (- \frac{72}{( x + 2 ) ^{4}})

Take the constant out:

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

= - 72 \frac{d}{d x} (\frac{1}{( x + 2 ) ^{4}})

Apply exponent rule:

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

= - 72 \frac{d}{d x} ((x + 2)^{- 4})

Apply the chain rule:

- \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

= - \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

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

= - 72 (- \frac{4}{( x + 2 ) ^{5}} \cdot 1)

Simplify

- 72 (- \frac{4}{( x + 2 ) ^{5}} \cdot 1) : \frac{288}{( x + 2 ) ^{5}}

= \frac{288}{( x + 2 ) ^{5}}

\frac{d}{d x} (e + ln (x))

x \to 0 lim (3 - 2^{x})

\frac{( 2 s + 8 )}{s ^{2} + 6 s + 25}

\int \frac{2 e ^{x} - e ^{- x}}{2 e ^{x} + e ^{- x}} d x

\int \frac{18 x}{1 - x ^{4}} d x

What is the derivative of-(72/((x+2)^4)) ?
The derivative of-(72/((x+2)^4)) is (288)/((x+2)^5)
What is the first derivative of-(72/((x+2)^4)) ?
The first derivative of-(72/((x+2)^4)) is (288)/((x+2)^5)