Wednesday

April 1, 2015

April 1, 2015

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

arcsin (sqrt2/2)??

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

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

- Calc -
**Hannah**, Wednesday, October 26, 2011 at 10:31pmto 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 10:33pmyes, that is the easy way.

- Calc -
**Steve**, Thursday, October 27, 2011 at 11:10amHowever, 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 ...