Calculus

Question 1

What is the differential of function “k”?

Answer 1

0

Question 2

What is the differential of function “x”?

Answer 2

1

Question 3

What is the differential of function “x^n”?

Answer 3

nx^(n-1)

Question 4

What is the differential of function “e^(kx)”?

Answer 4

ke^(kx)

Question 5

What is the equation for the gradient of a line/ the 1st differential?

Answer 5

Δy/Δx or dy/dx

Question 6

What is the equation for the second differential?

Answer 6

d^2y/dx^2

Question 7

What do the 1st and 2nd differential work out?

Answer 7

1st: gradient
2nd: rate of change

Question 8

What is the product rule?

Answer 8

When y = uv:
dy/dx = u(dv/dx) + v(du/dx)

Question 9

What is the quotient rule?

Answer 9

When y=u/v:
(v(du/dx) - u(dv/dx) ) / v^2

Question 10

What is the equation for the function of a function?

Answer 10

dy/dx = (du/dx) x (dy/du)