2.1-2.5 quiz Flashcards
1
Q
sin x ‘
A
cos x
2
Q
cos x’
A
-sin x
3
Q
tan x’
A
sec^2 x
4
Q
cot x
A
-csc^2 x
5
Q
sec x’
A
sec x(tan x)
6
Q
csc x’
A
-csc x(cot x)
7
Q
product rule
h(x) = f(x)(g(x))
A
h’(x) = f x g’ + g x f’
8
Q
quotient rule
h(x) = f(x)/g(x)
A
h’(x) = g x f’ - f x g’ / g^2
9
Q
chain rule
h(x) = f(g(x))
A
think like peeling an onion
h’(x) = f’(g(x)) x g’(x)
10
Q
sin 2x
A
2sinxcosx
11
Q
consider the curve : formula
show that dy/dx equals formula
A
basically dy/dx is the formula of the curve
12
Q
what is differentiation
A
where the slope equals the tangent line
13
Q
the process of finding a derivative is called
A
differentiation
14
Q
what does differentiability imply
A
continuity
15
Q
the derivative doesn’t exist at
A
discontinuities
cusps
when the tangent becomes vertical(straight up and down line part)