What is the derivative of 7xarcsin(x) ?

The derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))

What is the first derivative of 7xarcsin(x) ?

The first derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))

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\frac{d}{d x} (7 x arcsin (x))

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

Solution steps

\frac{d}{d x} (7 x arcsin (x))

Take the constant out:

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

= 7 \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)

= 7 (\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}}

= 7 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x)

Simplify

7 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x) : 7 (arcsin (x) + \frac{x}{1 - x ^{2}})

= 7 (arcsin (x) + \frac{x}{1 - x ^{2}})

\frac{200 t}{t + 2}

\int \frac{1}{( ln ( x ) ) ^{3} x} d x

\frac{d}{d x} (x^{5} - 2 x^{3} + x - 1)

y = - 11 x + 3, y = - x, [0, 0.3]

\frac{3}{4 x}

What is the derivative of 7xarcsin(x) ?
The derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))
What is the first derivative of 7xarcsin(x) ?
The first derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))