Link Derivative G=3x+5over 5x 3
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Connecting and Communicating What We Know About the Derivative of a Function
Symbolic
Graph
Given the function:
Determine
g’(x) =
Table
Analysis 1.
Determine the domain and range of the function g(x).
2. Determine the zeros of g(x). 3. Where is the function g(x) differentiable? 4. Determine
5. Graph g’(x) on the axes above. 6. Determine the equation of the tangent line of g(x) at the point where the slope is -34.
7. When is g’(x) = 0? When is g’(x) > 0? When is g’(x) < 0? 8. At what point(s), if any, are the tangents to the graph of g(x) horizontal?
Symbolic
Graph
Given the function:
Determine
g’(x) =
Table
Analysis 1.
Determine the domain and range of the function g(x).
2. Determine the zeros of g(x). 3. Where is the function g(x) differentiable? 4. Determine
5. Graph g’(x) on the axes above. 6. Determine the equation of the tangent line of g(x) at the point where the slope is -34.
7. When is g’(x) = 0? When is g’(x) > 0? When is g’(x) < 0? 8. At what point(s), if any, are the tangents to the graph of g(x) horizontal?
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