CPM Homework Help : CALC3RD Problem 7-194

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7-194.

Differentiate each of the following equations.

$y =\operatorname { sin } ^ { - 1 } ( \sqrt { 1 - x } )$
Hint (a):
Be mindful about positive and negative values.

$y =\frac { 2 \operatorname { cos } ( x ) } { \sqrt { 1 + x ^ { 2 } } }$
Hint (b):
Quotient Rule

$y = xe^{sec(x)}$
Hint (c):
Chain Rule
$\text{Recall that }\frac{d}{dx}\sec(x)=\sec(x)\tan(x).$

$\ln(y) = x \ln(x)$
Hint (d):
Use implicit differentiation.

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