((-3)cos(y))(x2)
Well first of all you need decide what rule you should use. Now, because they're multiplied together I'm going to use the product rule which is -
(dy/dx)= f'g +fg'
remember to write everything out -
f=((-3)cos(y))
f'=((3)sin(y))
g=x2
g'=2x
so from here it's pretty simple, you just sub in the values you have for each letter, remember to use brackets!
so....(dy/dx)= ((3)sin(y))(x2)+((-3cos(y))(2x)
Now you just need to simplify and gather like terms -
(dy/dx)=3x2siny-6xcosy
=3x(xsiny-cosy)
And there you have it!
Remember to check this yourself cause its been a while since I've studied this so I might have made a silly mistake somewhere. ^_^ Hope this helps!
Times itself. For example, 4 squared would be 4x4 = 16. 5 squared would be 5x5 = 25 etc
4 squared means multiplied by itself so 2 squared is 2 times 2 which is 4 if i took 7 squared, that would be 7 times 7 which is 49
that would be pi squared
She isn't. 4x squared is 4 times (x squared). That is, 4 times (3 squared) = 4 times 9. If you want it to be the square of 4x (which would be the square of 4 times 3, ie, 12), you have to write it as (4x)squared.
Well take (2 squared by 3) that would 2 times 2 which is 4, times 2 which equals 8 so (2 squared by 3) eqauls 8
Oh, dude, when you add 6x squared and 2x squared, you get 8x squared. It's like combining 6 apples with 2 apples and ending up with 8 apples. So, in math terms, 6x squared plus 2x squared equals 8x squared. Easy peasy!
That would be Y2 or Y squared.
Nearly 24 times. The Amazon is 5,500,000 km squared and Great Britain is 229,800 km squared.
The area of a circle is equal to pi times the radius squared. So in your case it would be 5 squared, (25) times pi which is equal to ~78.5
'40 squared' simply means 40 times itself (40 x 40) which equals 1,600
x2*x2...You would add the two exponents like this x(2+2), making it x4.
(x squared plus the square root of 2) times (x squared minus the square root of 2).