3√(x)ln(x)
what about it?
find the F(x)3√(x)ln(x)
F'=
The expression you provided, 3√(x)ln(x), involves the cube root of x multiplied by the natural logarithm of x.
To simplify the expression, you can apply the properties and rules of exponents and logarithms.
First, let's break down the expression step by step:
1. Start with the cube root of x: √(x ^ (1/3)).
2. Apply the power rule for exponents: (x^(1/3))^3.
This simplifies to: x^(1/3 * 3).
Therefore, the cube root of x is simply x.
Now, let's move on to the natural logarithm:
3. The natural logarithm of x can be expressed as ln(x).
Combining these two simplifications, the expression 3√(x)ln(x) simplifies to 3xln(x).