Differentiate ln(x)/x
To differentiate this, we use the quotient rule as we have 2 functions of x as a fraction.
The quotient rule states that:
where u is the numerator function and v is the denominator function.
Therefore, u=ln x and v=x.
So:
as that is the derivative of ln x.
And:
as that is the derivative of x.
Substituting these values into the quotient rule equation we have the following answer to this question:
CE
Related Maths A Level answers
All answers ▸integrate from 0 to 2: 2x*sqrt(x+2) dx
Find the area under the curve y = sin(2x) + cos(x) between 0 and pi/2
The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.
Rationalise the surd: 2/root(x)