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Derivatives of Inverse Trigonometric Functions
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Derivatives of Inverse Trigonometric Functions
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6. Derivatives of Inverse, Exponential, & Logarithmic Functions / Derivatives of Inverse Trigonometric Functions / Problem 3
Problem 3
Without finding the derivative of
y
=
cos
−
1
x
y=\cos^{-1}x
, determine the slope of the line tangent to
y
=
cos
−
1
x
y=\cos^{-1}x
at
(
1
2
,
π
3
)
\left(\frac12,\frac{\pi}{3}\right)
.
A
−
2
3
-2\sqrt3
B
−
2
3
3
-\frac{2\sqrt3}{3}
C
2
\sqrt2
D
−
2
2
-\frac{\sqrt2}{2}
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