What is the d/(ds)((k)(-s(s+1)(s+2))) ?

The d/(ds)((k)(-s(s+1)(s+2))) is -k(3s^2+6s+2)

What is the first d/(ds)((k)(-s(s+1)(s+2))) ?

The first d/(ds)((k)(-s(s+1)(s+2))) is -k(3s^2+6s+2)

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\frac{d}{d s} ((k) (- s (s + 1) (s + 2)))

- k (3 s^{2} + 6 s + 2)

Solution steps

\frac{d}{d s} ((k) (- s (s + 1) (s + 2)))

Take the constant out:

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

= k \frac{d}{d s} (- s (s + 1) (s + 2))

Take the constant out:

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

= k (- \frac{d}{d s} (s (s + 1) (s + 2)))

Apply the Product Rule:

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

f = s, g = (s + 1) (s + 2)

= k (- (\frac{d s}{d s} (s + 1) (s + 2) + \frac{d}{d s} ((s + 1) (s + 2)) s))

\frac{d s}{d s} = 1

\frac{d}{d s} ((s + 1) (s + 2)) = 2 s + 3

= k (- (1 \cdot (s + 1) (s + 2) + (2 s + 3) s))

Simplify

k (- (1 \cdot (s + 1) (s + 2) + (2 s + 3) s)) : - k (3 s^{2} + 6 s + 2)

= - k (3 s^{2} + 6 s + 2)

\frac{k ( s + 4 )}{s ^{2} + 4 s + 4}

- \frac{16 ln ( 3 )}{35 ( 1 - e ^{\frac{2 l n ( 3 )}{35}} )}

6 x^{2} + 19 + 9 x^{2} - 8

V (3, - 1) F (3, 1)

(y + ln ∣ e^{y} - 2 ∣) \cdot ln (x)

What is the d/(ds)((k)(-s(s+1)(s+2))) ?
The d/(ds)((k)(-s(s+1)(s+2))) is -k(3s^2+6s+2)
What is the first d/(ds)((k)(-s(s+1)(s+2))) ?
The first d/(ds)((k)(-s(s+1)(s+2))) is -k(3s^2+6s+2)