Find the derivative of f(x)=4x+7 at x=5

The derivative f'(x) of a function f(x) gives us a way of finding the instantaneous rate of change of that function for any value of x.

Here, we're given the function f(x) = 4x + 7. This function describes a line, and the defining quality of a line is the fact that it has a constant rate of change. This rate of change is described by the slope of the line, which in this case is 4, so we'd say that the rate of change - the derivative - of f(x) for every value of x is 4.

It'll be 4 at x = 1, it'll be 4 at x = 5,and it'll still be 4 at x = 1,000,000

12 servings. 4 times 3= 12

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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