What is the d/(dt)((x)(at-asin(t))) ?

The d/(dt)((x)(at-asin(t))) is x(a-acos(t))

What is the first d/(dt)((x)(at-asin(t))) ?

The first d/(dt)((x)(at-asin(t))) is x(a-acos(t))

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\frac{d}{d t} ((x) (a t - a sin (t)))

x (a - a cos (t))

Solution steps

\frac{d}{d t} ((x) (a t - a sin (t)))

Treat

a, x

as a constant

Take the constant out:

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

= x \frac{d}{d t} (a t - a sin (t))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= x (\frac{d}{d t} (a t) - \frac{d}{d t} (a sin (t)))

\frac{d}{d t} (a t) = a

\frac{d}{d t} (a sin (t)) = a cos (t)

= x (a - a cos (t))

\frac{1}{x ( 1 + x )}

\frac{3}{( x - 2 ) ^{2}}

\frac{\partial}{\partial z} ((x) (x z + x yz - 5))

(e^{2 x} - 6)^{2}

\frac{x}{( 5 x - 4 ) ^{2}}

What is the d/(dt)((x)(at-asin(t))) ?
The d/(dt)((x)(at-asin(t))) is x(a-acos(t))
What is the first d/(dt)((x)(at-asin(t))) ?
The first d/(dt)((x)(at-asin(t))) is x(a-acos(t))