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Popular >

derivative of e^{arcsin(x})

Solution

\frac{d}{d x} (e^{a r c s i n (x)})

Solution

\frac{e ^{a r c s i n (x)}}{1 - x ^{2}}

Solution steps

\frac{d}{d x} (e^{a r c s i n (x)})

Apply the chain rule:

e^{a r c s i n (x)} \frac{d}{d x} (arcsin (x))

= e^{a r c s i n (x)} \frac{d}{d x} (arcsin (x))

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

= e^{a r c s i n (x)} \frac{1}{1 - x ^{2}}

Simplify

e^{a r c s i n (x)} \frac{1}{1 - x ^{2}} : \frac{e ^{a r c s i n (x)}}{1 - x ^{2}}

= \frac{e ^{a r c s i n (x)}}{1 - x ^{2}}

Popular Examples

derivative of x+6sqrt(x+3)

\frac{d}{d x} (x + 6 x + 3)

simplify tan(x)+cos^2(x)+sin^2(x)-3 simplify

tan (x) + cos^{2} (x) + sin^{2} (x) - 3

derivative of (x-2^{1/2})

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

integral of e^{-8x}tan(e^{-8x})

\int e^{- 8 x} tan (e^{- 8 x}) d x

y^'=0.001y(400-y)

y^{^{'}} = 0.001 y (400 - y)

Frequently Asked Questions (FAQ)

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