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Popular >

derivative of arcsin((x-2/1))

Solution

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

Solution

\frac{1}{- x ^{2} + 4 x - 3}

Solution steps

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

Simplify

arcsin (\frac{x - 2}{1}) : arcsin (x - 2)

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - ( x - 2 ) ^{2}} \cdot 1 : \frac{1}{- x ^{2} + 4 x - 3}

= \frac{1}{- x ^{2} + 4 x - 3}

Popular Examples

integral of 1/(x(1+ln^2(x)))

\int \frac{1}{x ( 1 + ln ^{2} ( x ) )} d x

integral from 2 to 6 of pi(y-2)2

\int_{2}^{6} π (y - 2) 2 d y

tangent of f(x)=5sqrt(x),\at x=16 tangent of

f (x) = 5 x, at x = 16

y^{''}+2y^'+y=2e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = 2 e^{- t}

longdivision (x+2)/(x-1)long division

\frac{x + 2}{x - 1}

Frequently Asked Questions (FAQ)

What is the derivative of arcsin((x-2/1)) ?
The derivative of arcsin((x-2/1)) is 1/(sqrt(-x^2+4x-3))
What is the first derivative of arcsin((x-2/1)) ?
The first derivative of arcsin((x-2/1)) is 1/(sqrt(-x^2+4x-3))