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Flip to reveal answersd/dx(tan x) = ?
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All 8 Flashcards — The HL derivative table
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Question
d/dx(tan x) = ?
Answer
sec²x.
Question
d/dx(sec x) = ?
Answer
sec x · tan x.
Question
d/dx(csc x) = ?
Answer
−csc x · cot x (note the minus).
Question
d/dx(cot x) = ?
Answer
−csc²x (note the minus).
Question
d/dx(aˣ) = ?
Answer
aˣ ln a. (For a = e this is just eˣ, since ln e = 1.)
Question
d/dx(log_a x) = ?
Answer
1/(x ln a). (For a = e this is 1/x.)
Question
d/dx(arcsin x) and d/dx(arccos x)?
Answer
arcsin x → 1/√(1 − x²); arccos x → −1/√(1 − x²). Same fraction, opposite sign.
Question
d/dx(arctan x) = ?
Answer
1/(1 + x²).
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Full study notes for The HL derivative table
Topic 5.15 hub
Further calculus (HL only)
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