Graph the function f(x)=−4x2 and draw the tangent lines to the graph at points whose x-coordinates are -2 , 0, and 1. 123-1-2-3-412345678910-1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17 Clear All Draw: Find the difference quotient f(x+h)−f(x)/h Find f'(x) by determining limh→0f(x+h)−f(x)/h Find f'(−2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) Find f'(1)
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Graph the function f(x)=−4x2 and draw the tangent lines to the graph at points whose x-coordinates are -2 , 0, and 1.
123-1-2-3-412345678910-1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17
Clear All Draw:
Find the difference quotient f(x+h)−f(x)/h
Find f'(x) by determining limh→0f(x+h)−f(x)/h
Find f'(−2) (This slope should match the tangent line you drew above.)
Find f'(0)
Find f'(1)
Find f'(1)
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