application of derivative
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For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
f(x) = 2.6 + 2.4x - 0.7x^2
b and c should be in interval notation.
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Solution Summary
The solution shows how to find out the critical numbers of the function.
Solution Preview
first find the derivative of the function:
f'(x) = 0 +2.4 - 0.7 *2 x
f'(x) = 2.4 - 1.4x
at the critical point, f'(x) = 0, so
2.4 - 1.4x = ...
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