find the gradient of the tangent to the graph of ( f ) at the point where ( x = 2 ).
find the gradient of the tangent to the graph of ( f ) at the point where ( x = 2 ).
Answer
Explanation:
Step1: Select two points on the tangent line
We can choose two points on the tangent line. Let's say ((1,0)) and ((2,5)) (by observing the grid - like graph, assuming each small square has a side - length of 1).
Step2: Use the slope formula
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Here, (x_1 = 1,y_1 = 0,x_2=2,y_2 = 5). Then (m=\frac{5 - 0}{2 - 1}).
Answer:
(5)