Yr 13 Pure - Differentiation Flashcards by Jack Piper | Brainscape

Q

What is the trigonometric wheel of differentiation?

A

Sin(x) -> cos(x) -> -sin(x) -> -cos(x)

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Q

Differential of sin(3x)?

A

3cos(3x)

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Q

Differential of cos5x?

A

-5sin5x

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Q

Differential of e^5x?

A

5e^5x

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Q

Differential of 2^x?

A

2 ^xln2

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Q

Differential of e^x²?

A

2xe^x²

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Q

Differential of ln(x)?

A

1/x

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Q

Differential of lnx²?

A

2/x

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Q

Differential of (2x³ + 4) ⁵?

A

30x²(2x ³ + 4) ⁴

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Q

Differential of e^x² ⁺³?

A

2xe^x² ⁺³

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Q

Differential of ln(sin(x))?

A

1/sin(x) x cos(x) = cot(x)

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Q

Differential of tan(3x)?

A

3sec²3x

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Q

Differential of sec(3x)?

A

3sec(3x)tan(3x)

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Q

Differential of cot(3x)?

A

-3cosec²3x

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Q

Differential of cosec3x?

A

-3cosec3xcot3x

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