What is the derivative of arcsin(7x+1) ?

The derivative of arcsin(7x+1) is 7/(sqrt(-49x^2-14x))

What is the first derivative of arcsin(7x+1) ?

The first derivative of arcsin(7x+1) is 7/(sqrt(-49x^2-14x))

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\frac{d}{d x} (arcsin (7 x + 1))

\frac{7}{- 49 x ^{2} - 14 x}

Solution steps

\frac{d}{d x} (arcsin (7 x + 1))

Apply the chain rule:

\frac{1}{1 - ( 7 x + 1 ) ^{2}} \frac{d}{d x} (7 x + 1)

= \frac{1}{1 - ( 7 x + 1 ) ^{2}} \frac{d}{d x} (7 x + 1)

\frac{d}{d x} (7 x + 1) = 7

= \frac{1}{1 - ( 7 x + 1 ) ^{2}} \cdot 7

Simplify

\frac{1}{1 - ( 7 x + 1 ) ^{2}} \cdot 7 : \frac{7}{- 49 x ^{2} - 14 x}

= \frac{7}{- 49 x ^{2} - 14 x}

\int (8 x^{3}) d x

\int 4 x cos (2 x) d x

x \to 2 lim (2 x + 4)

\frac{\partial}{\partial x} (x d y)

- e^{x} + 3 x - 3 sin (x)

What is the derivative of arcsin(7x+1) ?
The derivative of arcsin(7x+1) is 7/(sqrt(-49x^2-14x))
What is the first derivative of arcsin(7x+1) ?
The first derivative of arcsin(7x+1) is 7/(sqrt(-49x^2-14x))