Lindsey's Reflection

This week we learned more about derivatives.
but instead of using the formula we learned a shortcut that would save a lot of time.

here are the rules when following these
shortcuts:

when you have a constant no matter what it will always equal zero.

the power rule is that you take the power and put that number in front of the variable.
then from there you subtract the power by one and that is your answer,

here are a few examples of these
rules:
f^1(x)=3

the derviative is 0.

y=x^3

you put the 3 in front of the x

3x^3

from here take the 3 and subtract it by 1

you will end up with 3x^2

we also learned the shortcut of how to find the derivative of sin and cos.

you just have to remember that

d/dx=[sinx]= cosx

d/dx=[cosx]= -sinx


so here is an example for these rules.

y=2cosx

remembering that cosx equals -sinx
you times 2 by that.

y=2(-sinx)

your final answer is -2sinx


these concepts really are not hard.
they are actually the easiest so far this year.