What is the d/(ds)(({K}(s))(s+3)) ?

The d/(ds)(({K}(s))(s+3)) is d/(ds)({K}(s))(s+3)+{K}(s)

What is the first d/(ds)(({K}(s))(s+3)) ?

The first d/(ds)(({K}(s))(s+3)) is d/(ds)({K}(s))(s+3)+{K}(s)

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\frac{d}{d s} ((K (s)) (s + 3))

\frac{d}{d s} (K (s)) (s + 3) + K (s)

Solution steps

\frac{d}{d s} ((K (s)) (s + 3))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = K (s), g = s + 3

= \frac{d}{d s} (K (s)) (s + 3) + \frac{d}{d s} (s + 3) K (s)

\frac{d}{d s} (s + 3) = 1

= \frac{d}{d s} (K (s)) (s + 3) + 1 \cdot K (s)

Simplify

= \frac{d}{d s} (K (s)) (s + 3) + K (s)

3 (5 c - 4 = 8 c + 2)

\frac{( 6 - y ) ^{3}}{3 y}

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

\frac{2.5 ( s + 7.2 ) ( s + 6.4 )}{s}

\frac{( x ( a - b ) + b ) ^{2}}{x a - x b}

What is the d/(ds)(({K}(s))(s+3)) ?
The d/(ds)(({K}(s))(s+3)) is d/(ds)({K}(s))(s+3)+{K}(s)
What is the first d/(ds)(({K}(s))(s+3)) ?
The first d/(ds)(({K}(s))(s+3)) is d/(ds)({K}(s))(s+3)+{K}(s)