[PDF] ln(x²)

What is the difference between ln2x and (LNX)2?

• ln2x is simply another way of writing (lnx)2 and so they are equivalent. However, these should not be confused with lnx2 which is equal to 2lnx There is only one condition where ln2x = lnx2 set out below. ln2x = lnx2 ? (lnx)2 = 2lnx

What is the derivative of ln(x)?

• The derivative of ln (x) is a well-known derivative. This lesson will show us the steps involved in finding this derivative, and it will go over a real-world application that involves the derivative of ln (x). We want to find the derivative of ln (x). The derivative of ln (x) is 1/x and is actually a well-known derivative that most put to memory.

What is the integral of LNX?

• The integral (antiderivative) of lnx is an interesting one because the process to find it is not what you’d expect. Where u and v are functions of x. =xlnx?x+C? (don’t forget the constant of integration!) if you want to fiddle about with e and logs i suppose you could say that

What is the derivative of ln X2?

• Leaving us with the derivative of ln x, which is 1/x The constant 2 comes out of the differentiation: The 2 multiplied by 1/x is written as 2/x: Thus, the derivative of ln x2 is 2/x. Note this result agrees with the plots of tangent lines for both positive and negative x. For x = 2, the derivative is 2/2 = 1, which agrees with the plot.