Calculus Examples

$\arcsin (x)$

Step 1

The derivative of $\arcsin (x)$ with respect to $x$ is $\frac{1}{\sqrt{1 - x^{2}}}$ .

$\frac{1}{\sqrt{1 - x^{2}}}$

Step 2

Set the derivative equal to $0$ then solve the equation $\frac{1}{\sqrt{1 - x^{2}}} = 0$ .

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Step 2.1

Set the numerator equal to zero.

$1 = 0$

Step 2.2

Since $1 \neq 0$ , there are no solutions.

No solution

Step 3

There are no solution found by setting the derivative equal to $0$ , $\frac{1}{\sqrt{1 - x^{2}}} = 0$ so there are no horizontal tangent lines.

No horizontal tangent lines found

Step 4