Math Rules for Rossi

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9 Terms

1
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how to do d/dx (c* f(x) )

c * f’(x)

2
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how to differentiate (f(x) ± g(x) )

f’(x) ± g’(x)

3
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Product rule : d/dx (f(x) * g(x) )

f’(x)g(x) + f(x)g’(x)

4
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Quotient rule f(x)/g(x)

(f’(x)g(x) - f(x)g’(x))/(g(x))²

5
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Chain Rule f(g(x))

f’(g(x)) * g’(x)

6
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Log Rule dlnf(x)

f’(x)/f(x)

7
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Exponential rule d/de^f(x)

(e^f(x))* f’(x)

8
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5 tips for differntiation

  • factor out constants early

  • take logs of products and quotients

  • label sub expressions

  • simplify before differentiating

  • keep denominator intact

9
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