y = 4x - 5

Question

Find the derivative of each function

Answer 1

There are 3 facts that determine the answer to this problem:

 

1. The derivative of a power of the independent variable (including a coefficient) is always as follows:

 

d/dx  axⁿ = nax^n-1

 

2. The derivative of a constant function is 0

 

3. The derivative of a sum is equal to the sum of the derivatives.

 

So...

 

d/dx 4x = 4x⁰ = 4 * 1 = 4

 

d/dx 5 = 0

 

So...

 

d/dx (4x - 5) = 4 + 0 = 4