0
f(x) = x/2
Then the differential is lim h->0 [f(x+h) - f(x)]/h
= lim h->0 [(x+h)/2 - x/2]/h
= lim h->0 [h/2]/h
= lim h->0 [1/2] = 1/2
f(x) = x/2
Then the differential is lim h->0 [f(x+h) - f(x)]/h
= lim h->0 [(x+h)/2 - x/2]/h
= lim h->0 [h/2]/h
= lim h->0 [1/2] = 1/2
f(x) = x/2
Then the differential is lim h->0 [f(x+h) - f(x)]/h
= lim h->0 [(x+h)/2 - x/2]/h
= lim h->0 [h/2]/h
= lim h->0 [1/2] = 1/2
f(x) = x/2
Then the differential is lim h->0 [f(x+h) - f(x)]/h
= lim h->0 [(x+h)/2 - x/2]/h
= lim h->0 [h/2]/h
= lim h->0 [1/2] = 1/2
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sec^2(x)
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d/dx(x + 2) = d/dx(x) + d/dx(2) = 1 + 0 = 1
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y' = (sec(x))^2
