Final answer:
The correct answer is (a) Yes, the derivative of 5x is 5. This is determined by applying the power rule of calculus to the function 5x, which simplifies to 5 when the derivative is taken.
Step-by-step explanation:
The question at hand is asking whether you can take the derivative of the function 5x. Yes, you can take the derivative of 5x. The derivative is calculated based on the power rule of calculus, which states that for any function of the form ax^n, the derivative is n*ax^(n-1).
Since the function 5x can be expressed as 5x^1, applying the power rule gives us a derivative of 1*5x^(1-1), which simplifies to 5*x^0. Because x^0 is equal to 1, the final derivative is simply 5. Therefore, the correct answer is (a) Yes, the derivative of 5x is 5.