Differentiation

Question 1

Differentiation process

Answer 1

Multiply everything with an “x” by the power of that x and then subtract that power by 1.

Question 2

Differentiation notation

Answer 2

dy/dx = …

f’(x) = …

Question 3

Differentiating when “x” is the denominator

Answer 3

Separate the fraction into ?/1 x 1/x (1/x = x⁻¹)

Example: ie 3/x -> 3/1 x 1/x -> (3x⁻¹)

Question 4

Differentiating when “x” is the numerator

Answer 4

Separate the fraction into 1/? x x/1 (x/1 = x)

Example: ie x/3 -> 1/3 x x/1 -> (1/3x)