Application of Differentiation

dy/dx

is read as differentiating y with respect to x

f'(x)

is known as the gradient function for the curve y = f (x)

Chain rule

dy/dx = dy/du × du/dx

Product rule

d/dx (uv) = u (dv/dx) + v (du/dx)

Quotient rule

Second derivative

Symbol of limit in differentiation

Meaning of symbol x to m

Calculation of the limit for the function f (x) when the value of x approaches the value of m

dy denotes a small change in y

dx denotes small change in x