Posted by **Hannah** on Wednesday, October 26, 2011 at 10:18pm.

How do you do the derivative of an inverse trig function?

arcsin (sqrt2/2)??

- Calc -
**bobpursley**, Wednesday, October 26, 2011 at 10:29pm
arcsin(sqrt2/2 ) is a constant. The derivative of a constant is zero.

- Calc -
**Hannah**, Wednesday, October 26, 2011 at 10:29pm
oops mixed up 2 questionss haha

- Calc -
**Hannah**, Wednesday, October 26, 2011 at 10:31pm
to find an arcsin you would just have to memorize the unit circle right? so arccos of -sqrt3/2 is 5pi/6?

- Calc -
**bobpursley**, Wednesday, October 26, 2011 at 10:33pm
yes, that is the easy way.

- Calc -
**Steve**, Thursday, October 27, 2011 at 11:10am
However, to find the derivative of an inverse trig function, go through the back door, as it were

y = arcsin(x)

sin y = x

cos y y' = 1

y' = 1/cos x = 1/√(1-sin^{2}x) = 1/√(1-x^{2})

## Answer this Question

## Related Questions

- Calculus (Derivatives of Inverse Functions) - Suppose f(x) = sin(pi cos(x)). On ...
- trig - Find the exact values of the inverse function arcsin 1/2
- Inverse Trig - Using -pi/2 ≤ y ≤ pi/2, what are the following ...
- math please help - use an inverse trig function to write theta as a function of ...
- MATH CHECK - COS[ARCSIN (SIN 3PI/4)] =COS[ARCSIN (SQRT2/2)] =COS [PI/4] = SQRT2/...
- trig - Write the expression and evaluate. There is only one answer whIch should ...
- Calc - Use the derivative to determine whether the function is strictly ...
- inverse - If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the...
- math - Eliminate the parameter (What does that mean?) and write a rectangular ...
- trig - Write the expression and evaluate. There should only be one answer which ...