y=4/ln(x) differentiate the function

Question

differentiate using the quotient rule. Please include steps and formulas I am struggling to understand

Answer 1

The quotient rule is:

f(x) = 4

g(x) = ln(x)

f '(x) = 0

g'(x) = 1/x

g(x)² = (ln(x))²

So:

y' = [0•ln(x) - (1/x)(4)]/(ln(x))²

y' = (-4/x)/(ln(x))²

y' = -4/[x(ln(x))²]