if f(x)=24, find f'(11)?
How can i find it?
f(x) is a constant, so the slope is zero everywhere!!
To find f'(11), you need to take the derivative of the function f(x) with respect to x and then evaluate it at x = 11.
However, since the function f(x) is defined as f(x) = 24, it is a constant function. The derivative of a constant function is zero. Therefore, f'(x) = 0 for any value of x.
So, f'(11) = 0.
To find f'(11), the derivative of f(x) at x = 11, you need to use the definition and techniques of calculus. Here's how you can find it:
1. Start with the function f(x) = 24. Since this is a constant function, its derivative will be zero for any value of x.
2. Recall that the derivative of a function represents the rate at which the function is changing at a specific point. In the case of a constant function like f(x) = 24, it is not changing, so the derivative is zero.
Therefore, f'(11) = 0.
In this case, since f(x) is a constant function, finding the derivative is straightforward. However, for more complex functions, you would need to apply calculus rules such as the power rule, product rule, quotient rule, or chain rule to find the derivative.