Well the third 9 weeks have come and gone so now we are at the final stretch.
One thing I am going to talk about is linearization.The steps for working linearization problems are:
1. Identify the equation
2. Use the formula f(x)+f ' (x)dx
3. Determine your dx in the problem
4. Then determine your x in the problem
5. Plug in everything you get
6. Solve the equation
Also I am going to talk about taking implicit derivatives. The steps for taking implicit derivatives are:
1. Take the derivative of both sides like you would normally do
2. Everytime the derivative of y is taken it needs to be notated with either y ' or dy/dx
3. Solve for dy/dx or y ' as if you are solving for x.
The next two types of integration are indefinite and definite. The answer for indefinite integration is an equation. But on the other hand the answer for a definite intergration is a number.
Indefinite Integration-Sx^n(dx)={(x^n+1)/(n+1)}+C
Definine Integration-bSa f(x)dx=F(b)-F(a)=number
Example- (S=integral symbol)
Indefinite
S x+5
x^2+5x+C
Definite
1S0 x+5
1S0 x^2+5x
1^2+5(1)-0^2+5(0)
=6
For what I help with is instantaneous speed.
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Instantaneous speed is rather easy. All you need to do is take the derivative and plug in for the value of t or x. Also, remember that it may ask you for the instantaneous speed and tell you that f(x) = the integral of something. Do not forget that taking the derivative of an integral is simply plugging in for the definite integral and multiplying by the derivative of the bounds.
ReplyDeleteAll you do for instantaneous speed is take the derivative and then plug in for what was asked, usually a t or x. How easy? Why don't i ever do these problems? but thereee you go :)
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