What is the d/(dt)((x)(17^t)) ?

The d/(dt)((x)(17^t)) is (dx)/(dt)17^t+17^tln(17)x

What is the first d/(dt)((x)(17^t)) ?

The first d/(dt)((x)(17^t)) is (dx)/(dt)17^t+17^tln(17)x

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\frac{d}{d t} ((x) (1 7^{t}))

\frac{d x}{d t} 1 7^{t} + 1 7^{t} ln (17) x

Solution steps

\frac{d}{d t} ((x) (1 7^{t}))

Apply the Product Rule:

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

f = x, g = 1 7^{t}

= \frac{d x}{d t} 1 7^{t} + \frac{d}{d t} (1 7^{t}) x

\frac{d}{d t} (1 7^{t}) = 1 7^{t} ln (17)

= \frac{d x}{d t} 1 7^{t} + 1 7^{t} ln (17) x

4 x - 20 x + 9

m^{2} e^{m x} - 5 m e^{m x} + 6 e^{m x}

2 x^{3} - 3 x^{3}

x 32 x 2 - x - 2

e^{ik x} + e^{- ik x}

What is the d/(dt)((x)(17^t)) ?
The d/(dt)((x)(17^t)) is (dx)/(dt)17^t+17^tln(17)x
What is the first d/(dt)((x)(17^t)) ?
The first d/(dt)((x)(17^t)) is (dx)/(dt)17^t+17^tln(17)x