# Calc

posted by .

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

arcsin (sqrt2/2)??

• Calc -

arcsin(sqrt2/2 ) is a constant. The derivative of a constant is zero.

• Calc -

oops mixed up 2 questionss haha

• Calc -

to find an arcsin you would just have to memorize the unit circle right? so arccos of -sqrt3/2 is 5pi/6?

• Calc -

yes, that is the easy way.

• Calc -

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-sin2x) = 1/√(1-x2)

## Similar Questions

1. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)?
2. ### MATH CHECK

COS[ARCSIN (SIN 3PI/4)] =COS[ARCSIN (SQRT2/2)] =COS [PI/4] = SQRT2/2
3. ### Calc

Use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse function. f(x) = cos [(3x)/2]

use an inverse trig function to write theta as a function of x (There is a right triangle drawn. The hypotenuse is 2. Theta is the angle between the base and the hypotenuse. The base/adjacent side of theta is labeled(x + 1) The side …
5. ### trig

Write the expression and evaluate. There should only be one answer which should match the range of the inverse trig function. Sec^-1(-2) sec^-1(-sqrt2) Cos^-1((-sqrt3)/2) Tan^-1(-sqrt3) Could someone explain how to get the answer as …
6. ### trig

Write the expression and evaluate. There is only one answer whIch should match the range of the inverse trig function. Sec^-1(-2) Sec^-1(-sqrt2) Tan^-1(-sqrt3) Tan^-1(sqrt3)
7. ### trig

Find the exact values of the inverse function arcsin 1/2
8. ### Calculus (Derivatives of Inverse Functions)

Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^-1(x) exists, the derivative of f^-1(x) with respect to x is: I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this is right.
9. ### Inverse Trig

Using -pi/2 ≤ y ≤ pi/2, what are the following solutions?
10. ### Calculus

Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of …

More Similar Questions