What is the derivative of asin^3(x) ?

The derivative of asin^3(x) is 3asin^2(x)cos(x)

What is the first derivative of asin^3(x) ?

The first derivative of asin^3(x) is 3asin^2(x)cos(x)

Popular >

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

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

x \to 0 - lim (\frac{14 x ^{3} + 15 x}{x})

ln (\frac{1}{3} (2 + e^{- 3 x}))

y^{^{''}} - 4 y + 4 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

x \to + 0 lim (3^{x} + 7)

(\frac{t ^{3}}{t ^{8} + 9})^{2}

What is the derivative of asin^3(x) ?
The derivative of asin^3(x) is 3asin^2(x)cos(x)
What is the first derivative of asin^3(x) ?
The first derivative of asin^3(x) is 3asin^2(x)cos(x)