CPM Homework Help : CALC Problem 6-106

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6-106.

Evaluate the following derivatives.

$\frac { d } { d x } \int _ { 0 } ^ { \operatorname { sin } x } 3 ^ { t ^ { 2 } } d t$
Hint (a):
≠ 3^sin2(^x⁾
Explain why not.
Answer (a):
= cos(x)3^sin2(^x⁾
Notice that the Chain Rule was applied to BOTH bounds.

$\frac { d } { d x } \int _ { \operatorname { sin } x } ^ { 0 } \operatorname { ln } ( t ^ { 2 } + 1 ) d t$
Hint (b):
Careful! Is the answer going to be positive or negative?

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