Answer: 1
Step-by-step explanation:
g'(5) = 5 the derivative of the function g(x) when x = 5 is 5, which is equal to the slope at that point.
Use a constant linear slope of 5 to estimate the difference between g(5.2) and g(5)
y2 - y1 = slope (x2 - x1)
here, you want to find the g(5.2) - g(5) which would be y2 - y1.
x2 = 5.2, x1 = 5, slope = 5
so plug in these values to find the difference
y2 - y1 = 5 * (5.2 - 5) = 5 * 0.2 = 1
