Hi Tom. How do I use this program to solve these two types of problems? What buttons do I push to locate the appropriate tools to use when solving these?

1.) F ‘ (x) for f(x) = x^2 – 6x + 4

2.) Find F ‘ (x) for f(x) = cubed root of x^2 + 1/x^2

I’m studying and practicing for a Calculus exam on Monday so I’m trying to learn and figure out your program today and tomorrow to assist me a little bit.

Thanks,

Nelson

F ‘ (x) for f(x) = x^2 – 6x + 4

I haven’t programmed this because it is too simple

I don’t think you need a program to solve this, and this is fundamental for your future calculus to learn, also easy

First you’ll notice that there are 3 items all seperated by minus and plus signs (x^2 -6x and +4)

for a derivative, you take the exponent 2 bring it in front of the ‘x’ variable and multiply it times anything in front (in this case 1), then subtract one from the exponent to get x^(2-1) = x^1 = x so 2x

Then put the minus sign down

and the derivative of -6x is just what’s infront of x or -6

the derivative of a number ( in this case 4) is zero so:

f ‘ = 2x-6

If the x^2 was 8x^2 then the exponent 2 would be multiplied by 8 to get 16 x

———————————————————–

Find F ‘ (x) for f(x) = cubed root of x^2 + 1/x^2

³√(x^2+1/x^2)

Anytime you see something like this you must get rid of the radical sign by the following:

(x^2+1/x^2)^(1/3) (the 3 in front of the radical is really ^1/3)

If the problem was like this:

²√(x^2+1/x^2) then it would be (x^2+1/x^2)^(1/2) (the 2 in front of the radical is really ^1/2)

Anytime you see an exponent (1/3) in calculus out side a function enclosed in parenthesis (x^2+1/x^2)

You think of the chain rule

You go to my menu ( index8() ) scroll down to chain rule and do the problem there

You have to press ALPHA first when you enter anything into my boxes for variables

Then:

(x^2+1/x^2)^(1/3)

Press ENTER

write everything you see down on your paper or test until the end answer

Pretty complicated problem and would not appear on a test, but maybe in homework, my programs are designed mainly for passing test questions.

Good luck, Tom

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