Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin x, 2'3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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x--
Find an equation of the tangent line to the graph of the function at the given point.
1 T
y = 2 arcsin x,
2' 3
Step 1
First
---Select---
both sides of the given function y
= 2 arcsin x with respect to
?
Write the
differential.
dy
d
y'
(2 arcsin x)
u
Recall that [arcsin u] =
dx
and rewrite the derivative.
%D
1
2
y' =
1 - x
Transcribed Image Text:x-- Find an equation of the tangent line to the graph of the function at the given point. 1 T y = 2 arcsin x, 2' 3 Step 1 First ---Select--- both sides of the given function y = 2 arcsin x with respect to ? Write the differential. dy d y' (2 arcsin x) u Recall that [arcsin u] = dx and rewrite the derivative. %D 1 2 y' = 1 - x
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