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Question

Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.

y^2=In(x), (e^64,8)

(a) dy/dx=

(b) At (e^64,8): dy/dx=

Answer 1

2y dy/dx = 1/x

dy/dx = 1/(2xy)

at (e⁶⁴,8), dy/dx = (1/16)e^-64 which is a very, very small positive number