Dick said:I give up. What is the question?
agv567 said:Homework Statement
http://i.imgur.com/DQMRG.jpg
Homework Equations
The intervals are going by ones.
The Attempt at a Solution
Well for the first derivative, I'm guessing from -infinity to -1, it's a decreasing line?
Also from -1 to 1...it's a constant negative line? I dunno
agv567 said:Yeah thanks guys, I got it. The answer is TRUE by the way, The 2nd derivative is positive throughout,
The first derivative of a function is the slope of the tangent line to the curve at a specific point. It represents the rate of change of the function at that point.
The first derivative can be found by taking the derivative of the function using the rules of differentiation, such as the power rule, product rule, and chain rule. This will give you an equation for the slope of the tangent line at any point on the function.
The first derivative tells us about the rate of change of the function at a specific point. It can be used to find the maximum and minimum points on the function, as well as the intervals where the function is increasing or decreasing.
The second derivative of a function is the derivative of the first derivative. It represents the rate of change of the slope of the tangent line at a specific point. It can also be thought of as the acceleration of the function at that point.
The second derivative can be found by taking the derivative of the first derivative. This can be done using the rules of differentiation or by taking the derivative of the original function twice. The resulting equation will give you information about the concavity of the function and the points of inflection.