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jarptica [38.1K]
3 years ago
6

Could someone please list all of the basic derivative rules?

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

The sum rule is f' + g'

The difference rule is f' − g'

The product rule is f g' + f' g

The quotient rule is (f' g − g' f )/g2



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See below

EXPLANATION

We want to verify that,

{ \sin ^{4} x}  -  { \sin^{2} x} = { \cos ^{4} x}  -  {  \cos^{2} x}

To verify this identity, we can take the left hand side simplify it to get the right hand side or vice versa.

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{ \sin ^{4} x}  -  { \sin^{2} x} ={ \sin ^{2} x}({ \sin ^{2} x}  - 1)

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We now expand the right hand side to get:

{ \sin ^{4} x}  -  { \sin^{2} x} = { \cos ^{4} x}  -  {  \cos^{2} x}

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