For this post I will go over the basics of derivatives and integrals. These are probably the two most important things in calculus and if you don't know these simple things about them you will die...i mean fail, then die.
First things first:
The derivative of a constant is always 0.
Ex. Derive 1. Answer=0
To derive a variable you take the degree and move it to the front, then subtract one from the original degree.
Ex. Derive x. Answer=1
Ex2. Derive 5x^2. Answer=10x
While deriving a polynomial just derive each individual part.
Ex.Derive 4x^2+2x+5 Answer=8x+2
Now integrals are just as simple as derivatives, except your doing things backwards.
While integrating always remember to add c to the end in case there was a constant that was turned to 0.**
Some Examples.
Ex.1 Integrate 3x^2.
Just work backwards and you simply get x^3+c
Ex.2 Integrate 4x^3+12x^2+5
Answer would be: x^4+4x^3+5x+c
And thats basically the basics to integrating and derivativing.
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