Derivative Rules/Trig f'(x)

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Calc 1 NCSU

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14 Terms

1
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Power Rule?

x^n—> nx^n-1

2
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Product Rule?

f’(x) . g(x) + g’(x) . f(x)

3
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Quotient Rule?

(low)(dhigh) - (high)(dlow) / (low)²

4
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Chain Rule?

f’(g(x)) . g’(x)

5
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d/dx of sin(x)

cos(x)

6
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d/dx of cos(x)

-sin(x)

7
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d/dx of tan(x)

sec²(x)

8
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d/dx of sec(x)

sec(x)tan(x)

9
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d/dx of cot(x)

-csc²(x)

10
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d/dx of csc(x)

-csc(x)cot(x)

11
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d/dx of ln(x)

1/x

12
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d/dx of log a (x)

1/x ln a

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d/dx of x^a

x^a ln a

14
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Equation of Tangent Line

y-y1 = m ( x - x1)