CALCULUS TIPS:
Derivatives:
2x^2 take exponent, multiply it by what’s in front of x, then take 1 away from the
exponent to get 4x^1 = 4x
2x^(2/3) same as above except you have to use 3/3 in place of 1
e^(x) = e^(x)
e^(2x) = 2*e^(x) (the derivative of what’s inside the parenthesis, * in front)
sin(x) use trig d/dx, identities in my program
x*sin(x), 2xsin(x), anything in front with an x – use product rule
cos(x) use trig d/dx, identities in my program
x*cos(x) 2xcos(x), anything in front with an x – use product rule
tan(x) use trig d/dx, identities in my program
ln(x) use ln(x) in my menu
2/(x+1) anytime you see a division sign use the quotient rule
(3x-2x^2)(4x+5) use product rule in my menu
Integrals:
e^x,sin(x),cos(x),tan(x) = transcendental things, us integration by parts
ln(x),log(x) goto same items in my menu, integration by parts
If your given problem has a different variable in its function such as “t” , or “ø” in
the function, then for my programs – substitute “x” for that other variable when
entering it for the function in my programs, of course now, when writing the step
by step calculations down on you paper – use the variable they gave you initially
in place of the “x’s”
When entering formulas such as 2xy + 3xz when prompted. Enter the formula
with a times sign ‘ * ’ in between the variables such as: 2*x*y + 3*x*z, not just
2xy etc.
When entering a minus sign to make a number/function negative (example -5*t)
use (-) (below the ANS button) not the minus sign below VAR-LINK.
Remember to use proper parentheses. One can never use to many as far as I’m
concerned. Example: ½+x is different than 1/(2+x)
If a program asks for 3 variables x,y,z and you are given only two ( x, y), then
simply enter zero (0) for the z variable.
y ’ or f ’ (x)
(same)
Different professors and books use different characters so make sure you
substitute your class’s characters on your paper during tests or homework.
If you somehow get into my actual programming syntax and mess up something,
(very unlikely) just e-mail me and I’ll re-send that particular program for you to
replace it free, or somehow fix the problem.
If you need help in calculus or my programs don’t hesitate to contact me, I can
even call you to help you if you want.