Grade 12Differential Calculus
Determine the points of continuity for the functi
Determine the points of continuity for the function f:R to R defined by f(x) = 2x if x is rational and f(x) = x+ 3 if x is irrational . With proof.
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f: [-5,5]→[3,18] Surjective & differentiable f
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g(0)=k Find least integral value of k such that there always exists some CEES✓ f" to satisfy (f' * (c)) ^ 2 =-f(c)f^ prime prime (c) \&(f(c))^ 2 f^ prime prime (c) < 3 * (f' * (c)) ^ 3
f: [-5,5]→[3,18] Surjective & differentiable f
g(x) = f(x) f'(x) Twice differentiable fr
g(0)=k Find least integral value of k such that there always exists some CEES✓ f" to satisfy (f' * (c)) ^ 2 =-f(c)f^ prime prime (c) \&(f(c))^ 2 f^ prime prime (c) < 3 * (f' * (c)) ^ 3
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