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Using the First Derivative to Identify Increasing & Decreasing Functions from Chapter 10 / Lesson 2 3.8K In mathematical functions the first derivative refers to the slope of the graph. Learn how to complete the operations...
Finding the increasing and decreasing intervals. Used in optimization problems. What are Types of Critical Points? There can be three types of critical points: Critical points where the function has maxima/minima. Critical points where there can be a vertical tangent. Critical points at which the...
Use a sign diagram to determine where f(x) is (1) increasing and (2) decreasing. Find the value of x that maximizes f(x) = -x - \frac{1}{x}; \quad x \gt 0 U(x_1,x_2)= 10(x_1)^2(x_2)^3, what is the answer differentiation x_1 and differentiation x...
(b)Onwhat interval(s)isf(x)increasing and decreasing? (c)Where doesf(x)have local maximum(s)? (d)Where doesf(x)have a local minimum? (e)Where doesf(x)have inflection points? (f)Onwhat intervalsisf(...
The base of a triangle is decreasing at the rate of 3 ft/sec, while the height is increasing at the rate of 4 ft/sec. At what rate is the area of the triangle changing when the base is 20 ft and the h How do I know that F(x)=x^4-15x^3+2x^2+12x-10 is or isn't divi...
They are called stationary points because they are points where the function is neither increasing nor decreasing, the derivative or the rate of change of the function is zero. Graphically, the tangent to the curve is horizontal at these points. if a curve equation is y=f(x), then at ...
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You’re almost at the finish line but may hit some snags. If your sample size is too large, you can make adjustments by increasing your margin of error or decreasing your confidence level. Additionally, if it is too small, sample more of your population. ...
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