What is the derivative of arcsin(9x+1) ?

The derivative of arcsin(9x+1) is 3/(sqrt(-x(9x+2)))

What is the first derivative of arcsin(9x+1) ?

The first derivative of arcsin(9x+1) is 3/(sqrt(-x(9x+2)))

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derivative of

arcsin (9 x + 1)

\frac{3}{- x ( 9 x + 2 )}

Solution steps

\frac{d}{d x} (arcsin (9 x + 1))

Apply the chain rule:

\frac{1}{1 - ( 9 x + 1 ) ^{2}} \frac{d}{d x} (9 x + 1)

= \frac{1}{1 - ( 9 x + 1 ) ^{2}} \frac{d}{d x} (9 x + 1)

\frac{d}{d x} (9 x + 1) = 9

= \frac{1}{1 - ( 9 x + 1 ) ^{2}} \cdot 9

Simplify

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

= \frac{3}{- x ( 9 x + 2 )}

\int \frac{1}{x ^{\frac{4}{5}}} d x

\int_{2}^{\infty} \frac{1}{x} d x

\int - 2.5 - \frac{1}{8} q d q

\frac{d}{d x} (e^{s e c (x^{2})})

x \to 0 + lim (\frac{ln ( x + 1 )}{x})

What is the derivative of arcsin(9x+1) ?
The derivative of arcsin(9x+1) is 3/(sqrt(-x(9x+2)))
What is the first derivative of arcsin(9x+1) ?
The first derivative of arcsin(9x+1) is 3/(sqrt(-x(9x+2)))