What is the derivative of (14)/((s+7)^2) ?

The derivative of (14)/((s+7)^2) is -(28)/((s+7)^3)

What is the first derivative of (14)/((s+7)^2) ?

The first derivative of (14)/((s+7)^2) is -(28)/((s+7)^3)

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derivative of

\frac{14}{( s + 7 ) ^{2}}

- \frac{28}{( s + 7 ) ^{3}}

Solution steps

\frac{d}{d s} (\frac{14}{( s + 7 ) ^{2}})

Take the constant out:

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

= 14 \frac{d}{d s} (\frac{1}{( s + 7 ) ^{2}})

Apply exponent rule:

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

= 14 \frac{d}{d s} ((s + 7)^{- 2})

Apply the chain rule:

- \frac{2}{( s + 7 ) ^{3}} \frac{d}{d s} (s + 7)

= - \frac{2}{( s + 7 ) ^{3}} \frac{d}{d s} (s + 7)

\frac{d}{d s} (s + 7) = 1

= 14 (- \frac{2}{( s + 7 ) ^{3}} \cdot 1)

Simplify

14 (- \frac{2}{( s + 7 ) ^{3}} \cdot 1) : - \frac{28}{( s + 7 ) ^{3}}

= - \frac{28}{( s + 7 ) ^{3}}

\int cos (z)

(1 + x^{2}) y^{^{''}} - 2 x y^{^{'}} + 2 y = 0

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

f (t) = 9 t^{2} - t

\int \frac{8 x ^{2}}{9 - x ^{2}} d x

What is the derivative of (14)/((s+7)^2) ?
The derivative of (14)/((s+7)^2) is -(28)/((s+7)^3)
What is the first derivative of (14)/((s+7)^2) ?
The first derivative of (14)/((s+7)^2) is -(28)/((s+7)^3)