find the derivative of 9^8^x^2

2 answers

let y = 9^8^(x^2)
I assume these are staggered exponents.
take ln of both sides
lny = ln(9^8^(x^2))
lny = (8^)x^2))ln9
now differentiate
y'/y = (ln9)(ln8)(8^(x^2))(2x)

y' = dy/dx = 2xy(ln8)(ln9)8^(x^2)
no its 9 to the power 8 to the power x to the power 2
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