Calculus Ch.2 quiz Flashcards
1
Q
Derivative at f(c) on f(x) (Newton)
A
lim as x->c [ f(x) - f(c) ] / (x - c)
2
Q
Derivative of f(x) (Lebniz)
A
lim as h->0 [ f(x+h) - f(x) ] / h
3
Q
Derivative of h(x) which equals f(x) times g(x)
A
f(x)g(x) + f(x)g(x)
4
Q
Derivative of h(x) which equals f(x) / g(x)
A
[f(x)g(x) - f(x)g(x)] / (g(x))^2
5
Q
Derivative of any constant is
A
0
6
Q
Derivative of x^n is
A
nx^(n-1)
7
Q
y=sinx, y`=?
A
cosx
8
Q
y=cosx y`=?
A
-sinx
9
Q
y=tanx, y`=?
A
sec^2(x)
10
Q
y=cscx, y`=?
A
-cotxcscx
11
Q
y=secx, y`=?
A
tanxsecx
12
Q
y=cotx, y`=?
A
-csc^2(x)
13
Q
The normal is
A
Perpendicular to the tangent line
14
Q
Chain rule
A
y = (inside)^n
y’ = n(inside)^(n-1)(inside)’
15
Q
cos(u +v)
A
cosucosv - sinusinv
