Question

Find the derivative of y=-xsinx when x=pie

Find the derivative of y=e^(-2x) What is the coeffient of your answer.

Find (d^2y)/(dx^2) when x=1
y=(x^3/3)+(x^2/2)+(x)

Please explain, I don't really understand deivatives.

Answer 1

So how bout that first one?\[\large\rm y=-x \sin x\]`Setting up` my product rule gives me\[\large\rm y'=\color{royalblue}{(-x)'}\sin x+(-x)\color{royalblue}{(\sin x)'}\]

Answer 2

Take derivative of the blue parts.
What do you get? :d
(-x)' = ?
(sin x)' = ?