The derivative & tangent line equations
7:33
Khan Academy
The derivative & tangent line equations
Discover how the derivative of a function reveals the slope of the tangent line at any point on the graph. We'll explore how to use this powerful tool to determine the equation of the tangent line, enhancing our understanding of instantaneous rates of change.
Aug 18, 2016
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The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of t.) For each interval, enter all letters whose corresponding statements are true for that interval.1. The interval from a to b2. The interval from b to c3. The interval from c to d4. The interval from d to e5. The interval from e to fA. The slope of the original function is positive on this intervalB. The slope of the original function is negative on this interval.
The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of t.) For each interval, enter all letters whose corresponding statements are true for that interval.1. The interval from a to b2. The interval from b to c3. The interval from c to d4. The interval from d to e5. The interval from e to fA. The slope of the original function is positive on this intervalB. The slope of the original function is negative on this interval.
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The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of t.) For each interval, enter all letters whose corresponding statements are true for that interval.1. The interval from a to b2. The interval from b to c3. The interval from c to d4. The interval from d to e5. The interval from e to fA. The slope of the original function is positive on this intervalB. The slope of the original function is negative on this interval.
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Jan 25, 2022
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