Two different expressions can have the same value. This is called equivalence, and it is important to know how to identify it. When this happens, one can cancel out one expression with the other to find the true value.
For example, if S(x) = X – 7 and T(x) = 4×2 – X + 3, then S(T(x)) = x – 7 = x – (4×2 – X + 3)
By cancelling out the x values, you can see that the two expressions are equivalent. This is important to know when dealing with complex equations that contain variables.
Identifying equivalence is a fundamental part of algebra, and this article will go into more detail about how to do it.
7 – 4×2
In this bullet point, we will look at how to find the derivative of a sum. When looking for the derivative of a sum, you need to be careful with what is inside the sum.
If both terms in the sum have variables in them, you need to differentiate both variables before adding them together. If one variable is an x and the other is a y, you would first have to find the derivative of xy and then add that to x – y.
In this case, both terms in the sum are constants, so there is no need to differentiate x or y before adding them together. You only need to find the derivative of 7 and 4×2 separately.
To find the derivative of 7, use the formula for finding derivatives of constants: d(constant) = 0. Constant , , ,
