Fc 0 or 2. N odd and m even.
This is the vertex coordinate 5.
Calc 2 cheat sheet. B a f xdx fb fa where f x is any antiderivative of f x. Plot all 4 points. Set inside to zero.
Fg f gfg product rule 4. Plug x back into the equation to find y. Choose 1 more x value and find its y value.
On this page i plan to accumulate all of the math formulas that will be important to remember for calculus 2. 0 d c dx 6. Create a table with the found x value in the middle 4.
By its nature calculus can be intimidating. Strip 2 secants out and convert rest to tangents using sec 1 tan22x x then use the substitution ux tan. But you can take some of the fear of studying calculus away by understanding its basic principles such as derivatives and antiderivatives integration and solving compound functions.
N even and m odd. 2 ffgfg gg æö ç łł quotient rule 5. Commands and operators to use the linux macos terminal like a pro from zero to hero or however you want to call it please note that not all commands will work in all instances and this is specified with the environment within parentheses.
Calculus 2 formula sheet. X a d f xftdtfx dx where f t is a continuous function on a x. D xnn nx 1 dx power rule 7.
Choose 2 more x values one on either side of the x you found. Also discover a few basic rules applied to calculus like cramer s rule and the constant multiple rule and a few others. 2 area of a region between two curves with respect to y.
If the two one sided limits had been equal then 2 lim x g x. 1 the area of a region between two curves. Sin 2 2sin cos x x x 2 1 cos 1 cos 2xx 2 2 1 sin 1 cos 2xx 2 ex.
29 2 2 3 29 2 2 29 2 9 22 3 329 329 29 22 29 3 2 cos 11 11 2 3 29 3 2 cos 11 29 cos 29 cos 112 3 xy xy xy xy xy xy xy yxy xyy yy xy yxyxyy yy y xy y xy y y xy e e ee e ee increasing decreasing concave up concave down critical points x c is a critical point of fx provided either 1. Graphing quadratics cheat sheet steps. Each integral will be dealt with differently.
The revisionist my math notes calculus i ii calculus 2 formula sheet. D fgxfgxgx dx this is the chain rule common derivatives 1 d x dx sin cos d xx dx cos sin d xx dx tan sec2 d xx dx sec sectan d xxx. Fundamental theorem of calculus.
11 nn ii ii ca c a 111 nnn ii i i iii ab a b 1 lim b n n a i f xdx f a i x x n b a x 1 1 n i n 1 1 2 n i nn i 2 1 1 2 1 6 n i nn n i 2 3 1 1 2 n i nn i. 2 4 5 5 34 33 3 lim lim lim xx x52 2 22 x x x x x xx x piecewise function 2 lim x g x where 2 5if 2 13 if 2 xx gx xx compute two one sided limits 2 22 lim lim 5 9 xx gx x 22 lim lim 1 3 7 xx gx x one sided limits are different so 2 lim x g x doesn t exist. Calculus 2 cheat sheet from ejj1999.
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