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Popular >

derivative of y=arcsin(5x+1)

Solution

derivative of

y = arcsin (5 x + 1)

Solution

\frac{5}{- 25 x ^{2} - 10 x}

Solution steps

\frac{d}{d x} (arcsin (5 x + 1))

Apply the chain rule:

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

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

\frac{d}{d x} (5 x + 1) = 5

= \frac{1}{1 - ( 5 x + 1 ) ^{2}} \cdot 5

Simplify

\frac{1}{1 - ( 5 x + 1 ) ^{2}} \cdot 5 : \frac{5}{- 25 x ^{2} - 10 x}

= \frac{5}{- 25 x ^{2} - 10 x}

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\frac{\partial}{\partial x} ((x^{2} + y^{2})^{- \frac{15}{2}} x)

limit as x approaches 0-of 3/x

x \to 0 - lim (\frac{3}{x})

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\frac{d}{d x} ((ln (x))^{6})

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\int \frac{x ^{3} - 3 x ^{2} + 5}{x - 3} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=arcsin(5x+1) ?
The derivative of y=arcsin(5x+1) is 5/(sqrt(-25x^2-10x))
What is the first derivative of y=arcsin(5x+1) ?
The first derivative of y=arcsin(5x+1) is 5/(sqrt(-25x^2-10x))