1. ## Finding the Value

If f(x)= 2kx^(3)-(k^(2)-7)x+9k, where k is a constant

How would I find the value of k if f(x) has a critical point at x=1?

2. Originally Posted by ctran
If f(x)= 2kx^(3)-(k^(2)-7)x+9k, where k is a constant

How would I find the value of k if f(x) has a critical point at x=1?
If there is a critical point at $x = 1$ then

$f'(1) = 0$.

Solve for k.