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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

= 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)

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

Simplify

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

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

\frac{\partial}{\partial y} (x^{2} - x y - y^{2})

\int \frac{3 x ^{3} - x}{x} d x

\int 3 4 - 3 x^{2} (- 6 x) d x

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

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