1. Use a computer microscope to do the following. (A suggestion: first look at each graph over a fairly large interval.)

a) With a window of size Δx = .002, estimate the rate f,(1) where f(x)=x^4 – 8x

b) With a window of size Δx = .0002, estimate the rate g'(0) where g(x) = 10^x

c) With a window of size Δt = .05, estimate the slope of the graph of y = t+2^(-t) at t = 7.

d) with a window of size Δz = .0004, estimate the slope of the graph of w = sin z at z = 0.

Use a computer microscope to do the following. (A suggestion: first look at each graph over a fairly large interval.) With a window of size Delta x = 002, estimate the rate f'(1) where f(x) =x^4 – 8x. With a window of size Delta x = 0002, estimate the rate g'(0) where g(x) = 10^x. With a window of size Delta t = 05, estimate the slope of the graph of y = t + 2^-t at t = 7. With a window of size Delta z = 0004, estimate the slope of the graph of w = sin z at z = 0.

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