Differentiation Flashcards by Alex Mihalciuc

Q

What does e^x differentiate to?

A

e^x

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Q

What does sinx differentiate to?

A

cosx

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Q

What does cosx differentiate to?

A

-sinx

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Q

What does tanx differentiate to?

A

sec²x

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Q

How do you differentiate a^x?

A

Change it into the form e^{x lna}

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Q

What does secx differentiate to?

A

secxtanx

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Q

How do you differentiate inverse functions?

A

Make x the subject and then find dx/dy. Flip to find dy/dx

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Q

What does lnx differentiate to?

A

1/x

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Q

What does log_ax differentiate to?

A

1 / xlna

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Q

What does sin^-1x differentiate to?

A

1/ (1-x²)^0.5

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Q

What does tan^-1x differentiate to?

A

1 / 1 + x²

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Q

What does sec^-1x differentiate to?

A

1 / x (x² -1)^0.5

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