What is the derivative of y=e^{2x}arcsin(x) ?

The derivative of y=e^{2x}arcsin(x) is 2e^{2x}arcsin(x)+(e^{2x})/(sqrt(1-x^2))

What is the first derivative of y=e^{2x}arcsin(x) ?

The first derivative of y=e^{2x}arcsin(x) is 2e^{2x}arcsin(x)+(e^{2x})/(sqrt(1-x^2))

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derivative of

y = e^{2 x} arcsin (x)

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

Solution steps

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

Apply the Product Rule:

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

f = e^{2 x}, g = arcsin (x)

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

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

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

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

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

16 cos (2 x)

y - y^{^{''}} = (1 + π^{2}) sin (π x)

\int \frac{1}{1 + 11 x} d x

y = (5 x + 1)^{4} (4 x + 3)^{- 2}

x \to 4 lim (x \cdot 5)

What is the derivative of y=e^{2x}arcsin(x) ?
The derivative of y=e^{2x}arcsin(x) is 2e^{2x}arcsin(x)+(e^{2x})/(sqrt(1-x^2))
What is the first derivative of y=e^{2x}arcsin(x) ?
The first derivative of y=e^{2x}arcsin(x) is 2e^{2x}arcsin(x)+(e^{2x})/(sqrt(1-x^2))