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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)

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Q: How do you differentiate a fraction with x as a numerator?
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Continue Learning about Other Math

The denominator of a fraction is 24 more than the numerator. the value of the fraction is 13. what is the numerator of this fraction?

Let x = numerator and x +24 = denominator x/ (x+24) = 13; 13x + 312 = x ; 12x =-312; x = - 26 (negative26) which is the numerator


What is a denominator and numerator tell you?

The denominator is the bottom number of a fraction, and the numerator is the top fraction of a fraction.Every integer is x/1.


When simplifying a rational fraction why do you need to factor the numerator and the denominator?

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?

A proper fraction is a fraction whose numerator is less than the denominator.


The numerator of a fraction is 3 times the denominator If the numerator is decreased by 1 and the denominator is increased by 2 the resulting fraction is 5 over 2 what is the original fraction?

let the denominator=x then numerator=3x Thus the fraction=3x/x now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2 thus 3x-1/x+2=5/2 2(3x-1)=5(x+2) 6x-2=5x+10 x=12 thus the original fraction is 3(12)/12=36/12 Check:36-1/12+2=35/14=5/2:)

Related questions

The denominator of a fraction is 24 more than the numerator. the value of the fraction is 13. what is the numerator of this fraction?

Let x = numerator and x +24 = denominator x/ (x+24) = 13; 13x + 312 = x ; 12x =-312; x = - 26 (negative26) which is the numerator


What does nomerator mean?

Mispelling of 'numerator'. Numerator is the top half of a fraction. If you have x/y, then x is the numerator.


What is a denominator and numerator tell you?

The denominator is the bottom number of a fraction, and the numerator is the top fraction of a fraction.Every integer is x/1.


two equivalent fractions for seven over fifteen?

Multiply numerator and denominator by 2 to get an equivalent fraction: 7 x 2 15 x 2 = 14 30 Multiply numerator and denominator by 3 to get an equivalent fraction: 7 x 3 15 x 3 = 21 45 Multiply numerator and denominator by 4 to get an equivalent fraction: 7 x 4 15 x 4 = 28 60 Multiply numerator and denominator by 5 to get an equivalent fraction: 7 x 5 15 x 5 = 35 75 Multiply numerator and denominator by 6 to get an equivalent fraction: 7 x 6 15 x 6 = 42 90 Multiply numerator and denominator by 7 to get an equivalent fraction: 7 x 7 15 x 7 = 49 105 Multiply numerator and denominator by 8 to get an equivalent fraction: 7 x 8 15 x 8 = 56 120 Multiply numerator and denominator by 9 to get an equivalent fraction: 7 x 9 15 x 9 = 63 135 Multiply numerator and denominator by 10 to get an equivalent fraction: 7 x 10 15 x 10 = 70 150 Multiply numerator and denominator by 11 to get an equivalent fraction: 7 x 11 15 x 11 = 77 165 Multiply numerator and denominator by 12 to get an equivalent fraction: 7 x 12 15 x 12 = 84 180 Multiply numerator and denominator by 13 to get an equivalent fraction: 7 x 13 15 x 13 = 91 195 Multiply numerator and denominator by 14 to get an equivalent fraction: 7 x 14 15 x 14 = 98 210 Multiply numerator and denominator by 15 to get an equivalent fraction: 7 x 15 15 x 15 = 105 225


How can you tell that a fraction is a unit fraction?

The numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.


what does x over 5 mean?

It's a fraction. X is your numerator and 5 is your denominator.


the denominator is 24 more than the numerator. Their value of the fraction is 1/3. Find the numerator and denominator?

Numerator = 12, Denominator = 36 x/(x+24)=1/3 (x is the numerator) 3x=x+24 2x=24 x=12 Numerator = 12 Denominator = 12+24 = 36


When simplifying a rational fraction why do you need to factor the numerator and the denominator?

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.


The numerator and the denominator of a fraction have the same value?

The Answer:If both the denominator and the numerator is the same, it is equivalent to x/x = 1, which is the same concept x0 revolves upon.


How do you express a fraction to mixed fraction?

For a mixed fraction, you need an improper fraction, that is, a fraction whose numerator is larger than its denominator. So suppose the fraction is x/y where x > y.Then divide x by y: that is x/y = q with a remainder r.Then the mixed fraction for x/y is q r/y.[Actually you need a numerator whose absolute value is greater than the positive denominator, but the fact that you ask this question suggests that you are nowhere near ready to go there.]


Which equation has an x-intercept of 4 and a y-intercept of -3?

7


What fraction is equal to 5 6 that has a numerator of 15?

5/6 = 15/x 5x = 90 x = 18 The fraction si 15/18