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Popular >

derivative of y=arcsin(8x+1)

Solution

derivative of

y = arcsin (8 x + 1)

Solution

\frac{2}{- x ( 4 x + 1 )}

Solution steps

\frac{d}{d x} (arcsin (8 x + 1))

Apply the chain rule:

\frac{1}{1 - ( 8 x + 1 ) ^{2}} \frac{d}{d x} (8 x + 1)

= \frac{1}{1 - ( 8 x + 1 ) ^{2}} \frac{d}{d x} (8 x + 1)

\frac{d}{d x} (8 x + 1) = 8

= \frac{1}{1 - ( 8 x + 1 ) ^{2}} \cdot 8

Simplify

\frac{1}{1 - ( 8 x + 1 ) ^{2}} \cdot 8 : \frac{2}{- x ( 4 x + 1 )}

= \frac{2}{- x ( 4 x + 1 )}

Popular Examples

derivative of cos^2(2x^4-4)

\frac{d}{d x} (cos^{2} (2 x^{4} - 4))

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\int \frac{sec ^{4} ( x )}{tan ^{3} ( x )} d x

integral of (x-5)cos(x)

\int (x - 5) cos (x) d x

limit as x approaches 2 of ((x-2))/(x-2)

x \to 2 lim (\frac{( x - 2 )}{x - 2})

integral of 3/(x^2-1)

\int \frac{3}{x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=arcsin(8x+1) ?
The derivative of y=arcsin(8x+1) is 2/(sqrt(-x(4x+1)))
What is the first derivative of y=arcsin(8x+1) ?
The first derivative of y=arcsin(8x+1) is 2/(sqrt(-x(4x+1)))