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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

(d^3)/(dx^3)(3n^{-1/3}+2n^{5/3})

\frac{d ^{3}}{d x ^{3}} (3 n^{- \frac{1}{3}} + 2 n^{\frac{5}{3}})

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\int \frac{1}{- 2 x ^{2} - 12 x + 32} d x

3t(dy)/(dt)+y=t^4

3 t \frac{d y}{d t} + y = t^{4}

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simplify ln(sqrt((a^2-z^2)/(a^2+z^2)))simplify

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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))