used as implicit operand
printer error
In the 8086 microprocessor, the DX register has several special uses. It is often paired with the AX register for multiplication and division operations, where DX holds the high-order bits of the result in multiplication and the remainder in division. Additionally, DX is used in I/O operations, particularly for port addresses in conjunction with the IN and OUT instructions. It also serves as a pointer for data in certain string manipulation instructions.
d/dx (u + v) = du/dx + dv/dx essentially this means that if you are finding the derivative of two functions u and v that you can find the derivative of each function separately and then add the derived functions to get the answer.
8086 has four multipurpose registers. 1. AX (Accumulator Register) 2. BX (Base Register) 3. CX (Count Register) 4. DX (Data Register) By Aneeta Arshad
∫ f(x) +g(x) dx = ∫ f(x) dx + ∫ g(x) dx.
OK, say we have some functions, f1, f2, f3, f4, ..., fn. Lets assume that all of these functions take in a real input and give a real output, so we can write y=f1(x), where x,y are both real. Start with the composition of two functions (to establish notation): y2 = f2(f1(x)) --> dy2/dx = df2/dx(f1(x)) * df1/dx(x) in English: "The derivative of y2 with respect to x, evaluated at the point x, is equal to the derivative of f2 with respect to x, evaluated at the point f1(x), times the derivative of f1 with respect to x, evaluated at the point x." The composition of three functions: y3 = f3(f2(f1(x))) --> dy3/dx = df3/dx(f2(f1(x))) * df2/dx(f1(x)) * df1/dx(x) = df3/dx(y2) * dy2/dx For composition of n functions: yn = fn(fn-1(...(f2(f1(x)))...)) dyn/dx = dfn/dx(fn-1(...(f2(f1(x)))...)) * ... * df2/dx(f1(x)) * df1/dx(x) = dfn/dx(fn-1) * dyn-1/dx Here I used shorthand, so that fn-1 really means f_{n-1}, the "n-1"th function.
computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register
dx dx dx dx dx dx dx dx dx dx dx dx dx dx dx dx dx d dx dx dx dx dx dx dx dx
offset storage for forming physical address
mod x, or |x| is actually a conjunction of two functions: 1) x = -x, for x < 0 2) x = x, for x >= 0. Whenever you're calculating integral of |x|, you have to consider those two functions, for example: integral of |x| from -5 to 4 by dx is a sum of integrals of -x from -5 to 0 by dx and integral of x from 0 to 4 by dx.
Simply integrate all the pieces apart, en add them up. This is allowed, because int_a^c f(x)dx = int_a^b f(x)dx + int_b^c f(x)dx for all a,b,c in dom(f).
d[fg(x)]/dx = df(x)/dx*g(x) + f(x)*dg(x)/dx or (fg)' = f'g + fg'