2015 AP Calculus 2c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy | Summary and Q&A

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April 27, 2016

2015 AP Calculus 2c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy

TL;DR

Calculate the rate at which a function changes by finding the derivative using a calculator.

❓ The task involves finding the derivative of a function using a calculator.
🚦 The provided function h(x) represents the vertical distance between two other functions.
❓ Using a calculator is especially useful for tasks involving derivatives and integrals.
☠️ The calculated rate of change is approximately -3.812 when x=1.8.
❓ The analysis highlights the importance of conceptual understanding alongside calculator usage.
⁉️ The question emphasizes the conceptual application of derivatives and integrals in problem-solving scenarios.
😒 The use of a calculator with derivative capabilities saves time and aids in quickly evaluating the desired rate of change.

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The main objective is to determine the rate of change of the vertical distance between two functions when x=1.8.

The function h(x) is defined as the difference between f(x) and g(x), where f(x) is 1+x+e^(x^2-2x) and g(x) is -x^4.

A calculator with derivative capabilities can be used to numerically evaluate the derivative of a function.

Understanding the underlying concepts of derivatives and integrals helps in solving problems and utilizing calculators effectively.

The task is to find the rate of change of the vertical distance between two functions (h) with respect to x when x=1.8.
By subtracting one function (g) from another function (f), h(x) is defined.
The derivative of h(x) can be calculated using a calculator, and when x=1.8, the rate of change is approximately -3.812.