What is the derivative of 11xarcsin(x) ?

The derivative of 11xarcsin(x) is 11(arcsin(x)+x/(sqrt(1-x^2)))

What is the first derivative of 11xarcsin(x) ?

The first derivative of 11xarcsin(x) is 11(arcsin(x)+x/(sqrt(1-x^2)))

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\frac{d}{d x} (11 x arcsin (x))

11 (arcsin (x) + \frac{x}{1 - x ^{2}})

Solution steps

\frac{d}{d x} (11 x arcsin (x))

Take the constant out:

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

= 11 \frac{d}{d x} (x arcsin (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = arcsin (x)

= 11 (\frac{d x}{d x} arcsin (x) + \frac{d}{d x} (arcsin (x)) x)

\frac{d x}{d x} = 1

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

= 11 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x)

Simplify

11 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x) : 11 (arcsin (x) + \frac{x}{1 - x ^{2}})

= 11 (arcsin (x) + \frac{x}{1 - x ^{2}})

\frac{d y}{d x} = \frac{y ^{3}}{e ^{x}}

\frac{\partial}{\partial x} (sec (\frac{x}{2}))

\int (x + 1)^{3} d x

\frac{d y}{d t} = \frac{( y + 2 )}{2 t + 1}

\frac{\partial}{\partial v} (3 cos (u))

What is the derivative of 11xarcsin(x) ?
The derivative of 11xarcsin(x) is 11(arcsin(x)+x/(sqrt(1-x^2)))
What is the first derivative of 11xarcsin(x) ?
The first derivative of 11xarcsin(x) is 11(arcsin(x)+x/(sqrt(1-x^2)))