What is the derivative of 2arcsin(x^3) ?

The derivative of 2arcsin(x^3) is (6x^2)/(sqrt(1-x^6))

What is the first derivative of 2arcsin(x^3) ?

The first derivative of 2arcsin(x^3) is (6x^2)/(sqrt(1-x^6))

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derivative of

2 arcsin (x^{3})

\frac{6 x ^{2}}{1 - x ^{6}}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

\frac{1}{1 - ( x ^{3} ) ^{2}} \frac{d}{d x} (x^{3})

= \frac{1}{1 - ( x ^{3} ) ^{2}} \frac{d}{d x} (x^{3})

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

= 2 \cdot \frac{1}{1 - ( x ^{3} ) ^{2}} \cdot 3 x^{2}

Simplify

2 \cdot \frac{1}{1 - ( x ^{3} ) ^{2}} \cdot 3 x^{2} : \frac{6 x ^{2}}{1 - x ^{6}}

= \frac{6 x ^{2}}{1 - x ^{6}}

\frac{d}{d x} (10 e^{- 2 x})

h (t) = (t + 5)^{\frac{2}{3}} (3 t^{2} - 5)^{3}

x \to 9 lim (\frac{5}{( x - 9 )})

7 y y^{^{'}} = x

x \to (a + 1) lim (x^{2} - 1)

What is the derivative of 2arcsin(x^3) ?
The derivative of 2arcsin(x^3) is (6x^2)/(sqrt(1-x^6))
What is the first derivative of 2arcsin(x^3) ?
The first derivative of 2arcsin(x^3) is (6x^2)/(sqrt(1-x^6))