Chapter 2: Q 12. (page 237)
Translate expressions written in Leibniz notation to 鈥減rime鈥 notation, and vice versa.
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Chapter 2: Q 12. (page 237)
Translate expressions written in Leibniz notation to 鈥減rime鈥 notation, and vice versa.
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Think about what you did today and how far north you were from your house or dorm throughout the day. Sketch a graph that represents your distance north from your house or dorm over the course of the day, and explain how the graph reflects what you did today. Then sketch a graph of your velocity.
Use the definition of the derivative to find for each function in Exercises 39-54.
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.The line tangent to the graph of at the point
Suppose f is a polynomial of degree n and let k be some integer with . Prove that if f(x) is of the form
Then where is the k-th derivative of
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line that is perpendicular to the tangent line to at and also passes through the point
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