Is it possible to differentiate (60-x)/1.2?
I'm thinking the answer would be 1/0 which is not possible but I just want to make sure.
No problem. Just do a little algebra first.
f(x)= (60-x)/1.2 = 50 - (5/6) x
The derivative is df/dx = -5/6
How did you get 5/6x?
To differentiate the expression (60-x)/1.2, we can follow these steps:
1. Rewrite the expression as a simplified form: (60 - x) / 1.2 = 50 - (1/6)x
We can divide both the numerator and the denominator of 1.2 by 1.2, which simplifies the expression.
2. Apply the power rule of differentiation: If we have a term of the form (ax^n), the derivative is given by (na*x^(n-1)), where 'n' is the power and 'a' is a constant.
In this case, the expression (1/6)x has a power of 1. Applying the power rule, we get:
The derivative of (1/6)x is (1/6) * 1 * x^(1-1) = 1/6.
3. Since the derivative of 50 is 0 (as 50 is a constant), the derivative of the entire expression (50 - (1/6)x) is simply the derivative of the (-1/6)x term, which is (-1/6) or equivalently -5/6.
So, the derivative of (60-x)/1.2 is -5/6.