What is the d/(dt)((x)(asin^3(t))) ?

The d/(dt)((x)(asin^3(t))) is 3axsin^2(t)cos(t)

What is the first d/(dt)((x)(asin^3(t))) ?

The first d/(dt)((x)(asin^3(t))) is 3axsin^2(t)cos(t)

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\frac{d}{d t} ((x) (a sin^{3} (t)))

3 a x sin^{2} (t) cos (t)

Solution steps

\frac{d}{d t} ((x) (a sin^{3} (t)))

Treat

a, x

as a constant

Take the constant out:

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

= x a \frac{d}{d t} (sin^{3} (t))

Apply the chain rule:

3 (sin (t))^{2} \frac{d}{d t} (sin (t))

= 3 (sin (t))^{2} \frac{d}{d t} (sin (t))

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

= x a \cdot 3 (sin (t))^{2} cos (t)

Simplify

= 3 a x sin^{2} (t) cos (t)

- cos (x) (5 x)

64 - x^{15}

R (8.3)

[4 (a)^{2} - (a) + 3]^{2}

9 a x + b + b x + 9 a

What is the d/(dt)((x)(asin^3(t))) ?
The d/(dt)((x)(asin^3(t))) is 3axsin^2(t)cos(t)
What is the first d/(dt)((x)(asin^3(t))) ?
The first d/(dt)((x)(asin^3(t))) is 3axsin^2(t)cos(t)