Derivative proofs
Not what you're looking for?
Please state whether each statement is true or false, and if false please explain why
The maximum slope of the graph of y = sin(bx) is b
If f''(2) = 0, then the graph of f must have a point of inflection at x = 2.
Purchase this Solution
Solution Summary
This shows how to determine the truth of two statements regarding functions and differentiations.
Solution Preview
Dear student,
1. y' = b cos(bx)
y" = -b^2 sin(bx)
Maxima or minima of y' occur when y" = 0, so 0 = -b^2 sin(bx)
so sin(bx) = 0 for a maximum slope of y, so bx = 0 or bx = pi.
If bx = 0 then x = 0 (assuming b<>0, which must be true or y = 0!). If x=0 then ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.