What is (\partial)/(\partial x)(arcsin(3x-2)) ?

The answer to (\partial)/(\partial x)(arcsin(3x-2)) is 3/(sqrt(-9x^2+12x-3))

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(\partial)/(\partial x)(arcsin(3x-2))

\frac{\partial}{\partial x} (arcsin (3 x - 2))

\frac{3}{- 9 x ^{2} + 12 x - 3}

Solution steps

\frac{\partial}{\partial x} (arcsin (3 x - 2))

Apply the chain rule:

\frac{1}{1 - ( 3 x - 2 ) ^{2}} \frac{\partial}{\partial x} (3 x - 2)

= \frac{1}{1 - ( 3 x - 2 ) ^{2}} \frac{\partial}{\partial x} (3 x - 2)

\frac{\partial}{\partial x} (3 x - 2) = 3

= \frac{1}{1 - ( 3 x - 2 ) ^{2}} \cdot 3

Simplify

\frac{1}{1 - ( 3 x - 2 ) ^{2}} \cdot 3 : \frac{3}{- 9 x ^{2} + 12 x - 3}

= \frac{3}{- 9 x ^{2} + 12 x - 3}

f (x) = \frac{x}{x ^{2} - 16}

x \to 1 lim (\frac{x}{1 - x ^{4}})

y = \frac{40}{x}, y = - 9 x + 39

\frac{d}{d x} (6 x - 2 x)

\frac{1}{15 s ^{3}}

What is (\partial)/(\partial x)(arcsin(3x-2)) ?
The answer to (\partial)/(\partial x)(arcsin(3x-2)) is 3/(sqrt(-9x^2+12x-3))