Proof Let s(x) and c(x) be two functions satisfying s’(x) = c(x) and c’(x)=-s(x) for all x. If s(0) = 0 and c(0)=1, prove that [s(x)]2+[c(x)2]=1.
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Proof Let E be a function satisfying . Prove that if for all a and b, then E is differentiable and for all x. Find an example of a function satisfying
Differential Calculus