Test 2 Flashcards
1
Q
When does the derivative not exist?
A
- When the right sided limit does not equal the left sided limit (point)
- When f(x) is not defined at x=a
- When f(x) is not continuous at x=a
- When there is a vertical tangent line (because the slope of a vertical tangent line is undefined)
2
Q
derivative of f(x) = k
A
f’(x) = 0
3
Q
derivative of f(x) = x^n
A
f’(x) = nx^n-1
4
Q
derivative of f(x) = kg(x)
A
f’(x) = kg’(x)
5
Q
derivative of f(x) = g(x) + s(x)
A
f’(x) = g’(x) + s’(x)
6
Q
derivative of f(x) = g(x)h(x)
A
f’(x) = g(x)h’(x) + g’(x)h(x)
7
Q
derivative of f(x) = g(x) / h(x)
A
f’(x) = h(x)g’(x) - h’(x)g(x) / h^2(x)
8
Q
derivative of sinx
A
cosx
9
Q
derivative of cosx
A
-sinx
10
Q
derivative of tanx
A
sec^2x
11
Q
derivative of secx
A
secxtanx
12
Q
derivative of cscx
A
-cscxcotx
13
Q
derivative of cotx
A
-csc^2x
14
Q
sin^2x+cos^2x
A
1
15
Q
1 + tan^2x
A
sec^2x
