Derivatives 

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 rewrite 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
We can first simplify the function as follows:
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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