Question

True or false. Use logic or math to explain. Every successive derivative of the function y=0.5sin(kx) will have a larger amplitude than any of its previous derivatives as long as |k|>1.

Answer 1

Step-by-step explanation

Given:

y = 0.5sin(kx)

Desired Outcome:

Determine whether every successive derivative of the function will have a larger amplitude than any of its previous derivatives.

Derivative of y = 0.5sin(kx)

`\begin{gathered} y=0.5sin\left(kx\right) \\ (dy)/(dx)=0.5kcos(kx) \end{gathered}`