Question

F(x)= lnx • x при x=1

Answer 1

f'(x)= 1/x * x+ lnx * 1= 1+lnx

f'(1) = 1+ln1 = 1+0=1

Answer 2

To find the value of the function F(x) = ln(x) * x when x = 1, you simply substitute x = 1 into the expression and calculate the result.

F(1) = ln(1) * 1

Now, the natural logarithm of 1 (ln(1)) is equal to 0.

F(1) = 0 * 1

Any number multiplied by 0 is equal to 0. Therefore:

F(1) = 0

So, when x = 1, the value of the function F(x) is 0.