Question
For each function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. y=xcubed-2
63
likes313 views
Answer to a math question For each function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. y=xcubed-2
Brice
4.8113 Answers
answer:
The points on the graph where the tangent line is horizontal are precisely the points where first derivative is 0.
Here, we have f(x)=x^3 - 2
So, f'(x)=3x^2
f'(x)=0 implies 3x^2=0 which is possible only when x=0 .
Therefore, x=0 is the only point on the graph of f(x)=x^3 - 2 where the tangent line is horizontal.
Frequently asked questions (FAQs)
Question: Determine the absolute maximum and minimum values of the function f(x) = x^3 - 3x^2 - 9x on the interval [-2, 4].
+
What is 2 raised to the power of 5, multiplied by the square root of 81?
+
What is the vertex form of the quadratic function f(x) = (x - 3)^2 + 2?
+
New questions in Mathematics