Here's the question bank on all the mathematics topics.
If the derivative of the function\(f(x) =\frac{m}{x} +2nx + 1\) vanishes at x = 2, then what is the value of m + 8n ?
Calculation:? \(\displaystyle f(x) =\frac{m}{x} +2nx + 1\)? \(\displaystyle f'(x) =\frac{-m}{x^2} +2n\)Since the derivative vanishes at x = 2, f'(2) = 0? \(\displaystyle f'(2) =\frac{-m}{2^2} +2n=0\)? \(\displaystyle f'(2) =\frac{{-m} +8n}{2^2}=0\)? m = 8n? Value of m + 8n cannot be determined due to insufficient data.
Scan QR code to download our App for
more exam-oriented questions
OR
To get link to download app