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Flip to reveal answersWhat is the derivative of sin x?
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All 9 Flashcards — Chain rule
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Question
What is the derivative of sin x?
Answer
cos x.
Question
What is the derivative of cos x?
Answer
−sin x (note the minus sign).
Question
What is the derivative of eˣ?
Answer
eˣ (unchanged).
Question
What is the derivative of ln x?
Answer
1/x.
Question
State the chain rule.
Answer
d/dx[f(g(x))] = f'(g(x))·g'(x) — outer derivative times inner derivative.
Question
How do you differentiate (ax + b)ⁿ?
Answer
n(ax + b)ⁿ⁻¹ × a (multiply by the inner derivative a).
Question
Derivative of sin(3x)?
Answer
3cos(3x).
Question
Derivative of e^(4x)?
Answer
4e^(4x).
Question
Derivative of ln(2x + 1)?
Answer
2/(2x + 1).
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Full study notes for Chain rule
Topic 5.6 hub
Chain, product & quotient
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