Determine the intervals on which the function is concave up or down and find the points of inflection a.) y=13x^2+ln(x) (x>0) concave up: concave down: (x,y)= b.) f(x)=4x^3-5x^2+2 points of inflection: concave up: concave down: c.) y=8x^5-5x^4 point of inflection at x= interval where function is concave up: interval where function is concave down:
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:
Determine the intervals on which the function is concave up or down and find the points of inflection
a.) y=13x^2+ln(x) (x>0)
concave up:
concave down:
(x,y)=
b.) f(x)=4x^3-5x^2+2
points of inflection:
concave up:
concave down:
c.) y=8x^5-5x^4
point of inflection at x=
interval where function is concave up:
interval where function is concave down:
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