f(x)=(2x^3)-(15x^2)-36x+7 on the interval [-6,9]. Find the average or mean slope on this interval. By the Mean Value Theorem, we know there exists at least one "c" in the open interval (-6,9) such that f'(c) is equal to this mean slope. Find all values of "c" that work and list them.
Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
f(x)=(2x^3)-(15x^2)-36x+7 on the interval [-6,9].
Find the average or mean slope on this interval.
By the Mean Value Theorem, we know there exists at least one "c" in the open interval (-6,9) such that f'(c) is equal to this mean slope. Find all values of "c" that work and list them.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
