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Popular >

derivative of y=arcsin(6x+1)

Solution

derivative of

y = arcsin (6 x + 1)

Solution

\frac{6}{- 36 x ^{2} - 12 x}

Solution steps

\frac{d}{d x} (arcsin (6 x + 1))

Apply the chain rule:

\frac{1}{1 - ( 6 x + 1 ) ^{2}} \frac{d}{d x} (6 x + 1)

= \frac{1}{1 - ( 6 x + 1 ) ^{2}} \frac{d}{d x} (6 x + 1)

\frac{d}{d x} (6 x + 1) = 6

= \frac{1}{1 - ( 6 x + 1 ) ^{2}} \cdot 6

Simplify

\frac{1}{1 - ( 6 x + 1 ) ^{2}} \cdot 6 : \frac{6}{- 36 x ^{2} - 12 x}

= \frac{6}{- 36 x ^{2} - 12 x}

Popular Examples

integral of (2x^2+x-8)/(x^3+4x)

\int \frac{2 x ^{2} + x - 8}{x ^{3} + 4 x} d x

(\partial)/(\partial y)((x^2-y^2)/(z^2))

\frac{\partial}{\partial y} (\frac{x ^{2} - y ^{2}}{z ^{2}})

derivative of x/(x+d/x)derivative of

\frac{x}{x + \frac{d}{x}}

derivative of f(x)=(2x^5-3)^8 derivative of

f (x) = (2 x^{5} - 3)^{8}

limit as x approaches+(-2.4) of x

x \to + (- 2.4) lim (x)

Frequently Asked Questions (FAQ)

What is the derivative of y=arcsin(6x+1) ?
The derivative of y=arcsin(6x+1) is 6/(sqrt(-36x^2-12x))
What is the first derivative of y=arcsin(6x+1) ?
The first derivative of y=arcsin(6x+1) is 6/(sqrt(-36x^2-12x))