Slope Unity in Mean Value Theorem: Average Meets Instant
finding the average rate of change for the interval \( [a,b] \) using the formula \( f'(c) = \frac{f(b) – f(a)}{b – a} \) finding the derivative of the function using rules of differentiation setting the derivative equal to average rate and solving for \( x \), which will be the coordinate of the \( […]
Unlocking the Secrets of Curves: Higher Order Derivatives in Graph Analysis
Let’s consider this radical function: \( f(x) = \sqrt{3x + 5} \). We’ll find the first few derivatives of this function. First Derivative: To find the first derivative of \( f(x) = \sqrt{3x + 5} \), we use the chain rule, as we have a composition of functions (the square root function and the linear […]
