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okay so first find f'(x)
of course you would need product rule to do that
once you have f'(x), set it equal to 0 and solve for x to find the critical number
x = 4/7.... this fraction will have a vertical asymptote there...
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what I have been struggling with is that finding f(x)'
I know the step but derivative
oops... function, and the function is actually a fraction \[f(x) = \frac{1}{(7x -4)^{6x}}\]
dont you use In to solve this?
so the critical point... is what makes the denominator zero... as the function does not exist or is undefined at x = 4/7
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x=4/7 is the answer?
@campbell_st
I'd believe so
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