Unit 3B Flashcards Preview

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Flashcards in Unit 3B Deck (9)
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1
Q

What is the limit of the inverse of y=sinx

A

y’=1 / (sqrt(1-x^2))

2
Q

What is the limit of the inverse of y=cosx

A

y’=-1 / (sqrt(1-x^2))

3
Q

What is the limit of the inverse of y=tanx

A

y’=1 / (x^2+1)

4
Q

What is the derivative of the inverse of y=cotx

A

y’= -csc^2(x)

5
Q

What is the limit of the inverse of y=csc(x)

A

y’= -1 / (abs(x)sqrt(x^2-1))

6
Q

What is the derivative of the inverse of y=secx

A

y’= 1 / (abs(x)sqrt(x^2-1))

7
Q

What is the chain rule?

A

f’(g(x)) = f’(g(x))*g’(x)

8
Q

What is the power rule? (Involving functions)

A

d/dx g(x)^n = n(g(x))^(n-1) * g’(x)

9
Q

Derivative of a^u(x)

A

d/dx a^(u(x)) = a^(u(x)) * ln(a)*u’(x)