Calculus Flashcards
1
Q
What is the differential of function “k”?
A
0
2
Q
What is the differential of function “x”?
A
1
3
Q
What is the differential of function “x^n”?
A
nx^(n-1)
4
Q
What is the differential of function “e^(kx)”?
A
ke^(kx)
5
Q
What is the equation for the gradient of a line/ the 1st differential?
A
Δy/Δx or dy/dx
6
Q
What is the equation for the second differential?
A
d^2y/dx^2
7
Q
What do the 1st and 2nd differential work out?
A
1st: gradient
2nd: rate of change
8
Q
What is the product rule?
A
When y = uv:
dy/dx = u(dv/dx) + v(du/dx)
9
Q
What is the quotient rule?
A
When y=u/v:
(v(du/dx) - u(dv/dx) ) / v^2
10
Q
What is the equation for the function of a function?
A
dy/dx = (du/dx) x (dy/du)
