Differentiation (2) Flashcards

1
Q

dy/dx when y=f(u) and u=g(x)?

A

dy/du * du/dx

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2
Q

dy/du * du/dx

A

dy/dx when y=f(u) and u=g(x)?

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3
Q

dy/dx for x=f(y)

A

1/(dx/dy)

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4
Q

1/(dx/dy)

A

dy/dx for x=f(y)

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5
Q

What if y = lnx?

A

x = e^y

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6
Q

x = e^y

A

What if y = lnx?

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7
Q

d/dx (e^kx)

A

ke^kx

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8
Q

ke^kx

A

d/dx (e^kx)

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9
Q

What is d/dx (a^x)?

A

a^x ln a

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10
Q

a^x ln a

A

What is d/dx (a^x)?

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11
Q

What is dy/dx of sin x?

A

cos x

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12
Q

cos x

A

What is dy/dx of sin x?

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13
Q

What is dy/dx of cos x?

A

-sin x

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14
Q

-sin x

A

What is dy/dx of cos x?

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15
Q

What is dy/dx of tan x?

A

sec^2 x

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16
Q

sec^2x

A

What is dy/dx of tan x?

17
Q

What is (dy/dx) y = u(x)v(x)?

A

u(dv/dx) + v(du/dx)

18
Q

u(dv/dx) + v(du/dx)

A

What is (dy/dx) y = u(x)v(x)?