Find the derivative of the function f by using the rules of differentiation.
f(x)=340
The derivative of a constant is 0
The derivative of 340 = 0
The derivative of 340x would be 340
The derivative of 340x^2 would be 680x.
f(x)=340
To find the derivative of a constant function like f(x) = 340, we can use the constant rule of differentiation. The constant rule states that the derivative of a constant is always zero.
So, the derivative of f(x) = 340 is simply 0.
Explanation:
To understand why the derivative of a constant is zero, let's recall the definition of the derivative. The derivative of a function f(x) at a point x is the rate of change of the function at that point. In other words, it measures how the function's output changes as the input changes.
For a constant function, like f(x) = 340, we know that the output will always be 340, regardless of the value of x. Since the output doesn't change with respect to the input, the rate of change is zero. Therefore, the derivative is zero.