hen using the quotient that appears in the definition of the derivative and evaluating it for for smaller and smaller values of h (try both positive and negative values), compute estimates for the derivative of f(x)=(3.2)x at the point where x=1. Be careful about your choices for h and make a good case that you have found f’(1) to first decimal place acuracy.
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:
Then using the quotient that appears in the definition of the derivative and evaluating it for for smaller and smaller values of h (try both positive and negative values), compute estimates for the derivative of f(x)=(3.2)x at the point where x=1. Be careful about your choices for h and make a good case that you have found f’(1) to first decimal place acuracy.
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