What is the d/(dt)((x)(3t-5)) ?

The d/(dt)((x)(3t-5)) is (dx)/(dt)(3t-5)+3x

What is the first d/(dt)((x)(3t-5)) ?

The first d/(dt)((x)(3t-5)) is (dx)/(dt)(3t-5)+3x

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\frac{d}{d t} ((x) (3 t - 5))

\frac{d x}{d t} (3 t - 5) + 3 x

Solution steps

\frac{d}{d t} ((x) (3 t - 5))

Apply the Product Rule:

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

f = x, g = 3 t - 5

= \frac{d x}{d t} (3 t - 5) + \frac{d}{d t} (3 t - 5) x

\frac{d}{d t} (3 t - 5) = 3

= \frac{d x}{d t} (3 t - 5) + 3 x

(1 + e^{- u})^{2}

(9 df - 7) 3

\frac{d x}{( e ^{y} + 1 ) ^{2} e ^{- y}}

y^{2} d x + (x^{2} + x y + y^{2}) d y

\frac{450}{( t + 3 ) ^{2}}

What is the d/(dt)((x)(3t-5)) ?
The d/(dt)((x)(3t-5)) is (dx)/(dt)(3t-5)+3x
What is the first d/(dt)((x)(3t-5)) ?
The first d/(dt)((x)(3t-5)) is (dx)/(dt)(3t-5)+3x