CPM Homework Help : CALC3RD Problem 7-55

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Home > CALC3RD > Chapter Ch7 > Lesson 7.2.1 > Problem 7-55

7-55.

Differentiate each equation.

$y^2 = 3\cos(x)$
Hint (a):
Use implicit differentiation. Alternatively, you could simplify to ' $y =$ ' form.
Answer (a):
$y^\prime=\frac{-3\sin(x)}{2y}\text{ or }\pm \frac{\sqrt{3}\sin(x)}{2\sqrt{\cos(x)}}$

$y = \tan^2( \sqrt { x } )$
Hint (b):
Use the Chain Rule to differentiate. You may have to use it more than once.
Hint (b):
$\text{tan}^{2}(\sqrt{x})=(\text{tan}(\sqrt{x}))^{2}$

$y = \sin(\cos(x))$
Hint (c):
Use the Chain Rule to differentiate.

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