CPM Homework Help : CALC3RD Problem 7-89

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Home > CALC3RD > Chapter Ch7 > Lesson 7.2.4 > Problem 7-89

7-89.

Differentiate each of the following functions.

$y =\frac { ( 3 x ^ { 2 } - 2 ) ^ { 3 } } { - 2 }$
Hint (a):
This is NOT a Quotient Rule problem!
Step 1(a):
$\text{Before differentiating, rewrite the equation as } \\ y=-\frac{1}{2}(3x^{2}-2)^{3}.$

$y = 6^{(3x^2 - 2)^3}$
Answer (b):
$= 18\ln(6)\cdot x(3x^2 − 2)^2 \cdot 6^{(3x^2 - 2)^3}$

$(2y)^2 − \cos(x^5) = 9$
Hint (c):
Use implicit differentiation.

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