Suppose you wish to differentiate x/f(x) where f(x) is a differentiable function of x, and writing f for f(x) and f'(x) for the derivative of f(x),
d/dx (x/f) = [f - x*f']/(f2)
Chat with our AI personalities
Let x = numerator and x +24 = denominator x/ (x+24) = 13; 13x + 312 = x ; 12x =-312; x = - 26 (negative26) which is the numerator
The denominator is the bottom number of a fraction, and the numerator is the top fraction of a fraction.Every integer is x/1.
By factoring the numerator and denominator in a fraction, you can then divide common multiples out and reduce the fraction to the simplest terms. Perhaps an example might be of help. If we have 66/99, we can see that 66 = 2 x 3 x 11, and 99 = 3 x 3 x 11. We can divide the 3 and the 11 out of both the numerator and denominator, and have 2/3 as the answer. The 66/99 = 2/3. Factoring the numerator and denominator allow us to see what we can divide out to reduce the fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
If the numerator is 0, the fraction equals 0.