The denominator in the derivative can't possibly be (t + 7)2. Make sure that you and your instructor are working the same problem.mesa said:Homework Statement
If f(t)=(4t+2)/(t+3) what is f'(t)=?
The Attempt at a Solution
I got 10/(t+3)^2 but my professor insists it is 6/(t+7)^2, I know this is a simple question but I don't know where I am going wrong.
Mark44 said:The denominator in the derivative can't possibly be (t + 7)2. Make sure that you and your instructor are working the same problem.
I often had a "fight" with my lecturers (many of whom were professors) at university and often came out on top.mesa said:That's what I told him but he has a problem listening to anyone who doesn't have Phd after their name, this is going to be fun lol!
Thanks for the verification!
oay said:I often had a "fight" with my lecturers (many of whom were professors) at university and often came out on top.
So please pursue this!
In a calm manner, of course...
A derivative is a mathematical concept that represents the instantaneous rate of change of a function with respect to its input variable.
To find the derivative of a function, you need to use the rules of differentiation, such as the power rule, product rule, and chain rule. These rules allow you to simplify the function and determine its derivative.
Sure, for example, if we have the function f(x) = 3x^2 + 5x + 2, we can use the power rule to find its derivative. The power rule states that the derivative of x^n is nx^(n-1). Applying this rule, we get f'(x) = 6x + 5. This means that the derivative of f(x) is 6x + 5.
Finding derivatives is important in many fields, including physics, engineering, economics, and more. It allows us to analyze the rate of change of a function and make predictions about its behavior. It also helps us find the maximum and minimum values of a function, which is useful in optimization problems.
One way to check if your derivative is correct is to graph both the original function and its derivative on a graphing calculator or software. The derivative should be a tangent line to the original function at any given point. Additionally, you can also use the derivative rules to simplify and verify your answer.