Differentiation (3) Flashcards

1
Q

What is (dy/dx) cosec x?

A

-cosec x cot x

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2
Q

-cosec x cot x

A

What is (dy/dx) cosec x?

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3
Q

What is (dy/dx) sec x?

A

sec x tan x

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4
Q

sec x tan x

A

What is (dy/dx) sec x?

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5
Q

What is (dy/dx) cot x?

A

-cosec^2 x

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6
Q

-cosec^2 x

A

What is (dy/dx) cot x?

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7
Q

What is f’(x) arcsin x?

A

1/¬(1-x^2)

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8
Q

1/¬(1-x^2)

A

What is f’(x) arcsin x?

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9
Q

What is f’(x) arccos x?

A
  • (1/¬(1-x^2))
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10
Q
  • (1/¬(1-x^2))
A

What is f’(x) arccos x?

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11
Q

What is f’(x) arctan x?

A

1/(1+x^2)

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12
Q

1/(1+x^2)

A

What is f’(x) arctan x?

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13
Q

Differentiate f(x) = x^2 from first principles

A

f’(x) = lim ((x+h)^2 - x^2)/(h)

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14
Q

f’(x) = lim ((x+h)^2 - x^2)/(h)

A

Differentiate f(x) = x^2 from first principles

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15
Q

Product rule?

A

dy/dx = u * dv/dx + v * du/dx

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16
Q

dy/dx = u * dv/dx + v * du/dx

A

Product rule?

17
Q

Quotient rule?

A

dy/dx = ((v(du/dx)) - (u(dv/dx)))/v^2

18
Q

dy/dx = ((v(du/dx)) - (u(dv/dx)))/v^2

A

Quotient rule?