ma161 generalized derivative rules

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12 Terms

1
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𝑓(𝑥) = sin□

𝑓 ′ (𝑥) = □′ cos□

2
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𝑓(𝑥) = cos □

𝑓 ′ (𝑥) = −□′ sin□

3
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𝑓(𝑥) = tan□

𝑓 ′ (𝑥) = □′ sec2 □

4
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𝑓(𝑥) = cot □

𝑓 ′ (𝑥) = −□′ csc2 □

5
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𝑓(𝑥) = sec □

𝑓 ′ (𝑥) = □ ′ sec□ tan□

6
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𝑓(𝑥) = csc □

𝑓 ′ (𝑥) = −□′ csc □ cot □

7
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𝑓(𝑥) = sin−1 □

𝑓 ′ (𝑥) = □′ /√1 − □2

8
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𝑓(𝑥) = cos−1 □

𝑓 ′ (𝑥) = − □′ /√1 − □2

9
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𝑓(𝑥) = tan−1 □

𝑓 ′ (𝑥) = □′ /1 + □2

10
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𝑓(𝑥) = cot−1 □

𝑓 ′ (𝑥) = − □′ /1 + □2

11
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𝑓(𝑥) = sec−1 □

𝑓 ′ (𝑥) = □′ /□√□2 − 1

12
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𝑓(𝑥) = csc−1 □

𝑓 ′ (𝑥) = − □′ /□√□2 − 1

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