Question

(a-2)'3

Answer 1

(а-2)³=а³-6а²+12а-8
(а-2)²=а²-4а+4

Answer 2

I assume you mean to find the derivative of the expression (a-2)^3 with respect to the variable "a".

To do this, we can use the power rule of differentiation, which states that if we have a function f(x) = x^n, then its derivative f'(x) = n*x^(n-1).

Applying this rule, we can find the derivative of (a-2)^3 with respect to "a" as follows:

d/dx [(a-2)^3] = 3*(a-2)^2 * d/dx (a-2)

Using the chain rule of differentiation, we can find the derivative of the term (a-2) with respect to "a" as:

d/dx (a-2) = 1

Substituting this into our earlier expression, we get:

d/dx [(a-2)^3] = 3*(a-2)^2 * 1 = 3*(a-2)^2

Therefore, the derivative of the expression (a-2)^3 with respect to "a" is 3*(a-2)^2.