Derivatives - Calculus AB
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Last updated 10:06 PM on 11/22/22
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19 Terms
1
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f(x) = sin(x); f'(x) = ?
cos(x)
2
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f(x) = cos(x); f'(x) = ?
-sin(x)
3
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f(x) = tan(x); f'(x) = ?
sec²(x)
4
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f(x) = cot(x); f'(x) = ?
-csc²(x)
5
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f(x) = sec(x); f'(x) = ?
sec(x) tan(x)
6
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f(x) = csc(x); f'(x) = ?
-csc(x) cot(x)
7
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f(x) = eˣ; f'(x) = ?
eˣ
8
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f(x) = ln |x| or f(x) = ln(x); f'(x) = ?
1
---
x
---
x
9
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f(x) = constant; f'(x) = ?
0
10
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f(x) = x; f'(x) = ?
1
11
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f(x) = axⁿ; f'(x) = ?
n ax⁽ⁿ⁻¹⁾
12
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f(x) = √x ; f'(x) = ?
1
----
2√x
----
2√x
13
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f(x) = sin⁻¹(x) ; f'(x) = ?
1
-------
√(1-x²)
-------
√(1-x²)
14
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f(x) = cos⁻¹(x) ; f'(x) = ?
-1
-------
√(1-x²)
-------
√(1-x²)
15
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f(x) = tan⁻¹(x) ; f'(x) = ?
1
-------
1 + x²
-------
1 + x²
16
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f(x) = aˣ; f'(x) = ?
aˣ ln(a)
17
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f(x) = logₐx; f'(x) = ?
1
-------
x ln(a)
-------
x ln(a)
18
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...........1
f(x) = ----- ; f'(x) = ?
...........x
f(x) = ----- ; f'(x) = ?
...........x
-1
---
x²
---
x²
19
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f(x) = h(x) - g(x); f'(x) = ?
h'(x) - g
Note 
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