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Find the derivative of f(x) = 8

The derivative of a constant is 0. Therefore:

f(x)  = 8

f'(x) = 0

Find the derivative of f(x) = 6x

For a function of the form f(x) = ax, the derivative is f'(x) = a. Therefore:

f(x) = 6x

f'(x) = 6

Find the derivative of f(x) = 3x + 7

Knowing that for a function f(x) = ax + b, its derivative is f'(x) = a, we have

f(x) = 3x + 7

f'(x) = 3

Find the derivative of f(x) = 8 - 5x

We know if a function has the form f(x) = ax + b, the derivative is f'(x) = a.

Let's re-write the function as

f(x) = 8 - 5x
     = -5x + 8
     
f'(x) = -5

Find the derivative of f(x) = 3(7x + 4)

To convert the function to the form ax + b, we can write it as:

f(x) = 3 * 7x + 3 * 4
     = 21x + 12

For a function of the form f(x) = ax + b, the derivative is f'(x) = a.

f(x)  = 21x + 12
     
f'(x) = 21

Find the derivative of 

We can first simplify the function as follows:

f(x) = 
     =
     =
2x - 3

We can then calculate the derivative knowing that, for a function of the form f(x) = ax + b, the derivative is f'(x) = a. Therefore:

f(x)  = 2x - 3
     
f'(x) = 2
 
 

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