differentiation Flashcards
1
Q
What is y=sinkx differentiated?
A
dy/dx = kcoskx
2
Q
What is y = coskx differentiated?
A
dy/dx = -ksinkx
3
Q
What is the unit for differentiating trigometeric functions?
A
radians
4
Q
y=e^kx differentiated?
A
ke^kx
5
Q
y=ln(x) differentiated
A
1/x
6
Q
y=a^kx differentiated where a > 0
A
(a^kx)*ln(a)
7
Q
What is the chain rule?
A
dy/dx = dy/du x du/dx
8
Q
What does 1/dx/dy equal?
A
dy/dx
9
Q
What is the product rule?
A
dy/dx = vdu/dx + udv/dx when y=uv
10
Q
What is the quotient rule?
A
dy/dx = (vdu/dx)-(udv/dx)/v^2 when y=u/v
11
Q
what y=tan(kx) differentiated?
A
dy/dx = ksec^2kx
12
Q
what is y = cosec (kx) differentiated?
A
dy/dx = -kcosec(kx) * cot(kx)
13
Q
what is y = sec (kx) differentiated?
A
dy/dx = ksec(kx) * tan(kx)
15
Q
what is y = cot (kx) differentiated?
A
dy/dx = -k(cosec(kx))^2 * kx
