6.1 Let f:RR and cinR be fixed. Assume we have f(x) = f(c) + (x - c)²ƒ¸, (x) with a 1 differentiable function f :R → R. Show that fis twice differentiable at x = c and express ƒ (c) in terms of f 6.1 Let f RR and cER be fixed. Assume we have f(x) = f(c)+(rc)²fi(x) with a differentiable function f₁: RR. Show that f is twice differentiable at x=c and express f"(c) in terms of fi.
6.1 Let f:RR and cinR be fixed. Assume we have f(x) = f(c) + (x - c)²ƒ¸, (x) with a 1 differentiable function f :R → R. Show that fis twice differentiable at x = c and express ƒ (c) in terms of f 6.1 Let f RR and cER be fixed. Assume we have f(x) = f(c)+(rc)²fi(x) with a differentiable function f₁: RR. Show that f is twice differentiable at x=c and express f"(c) in terms of fi.
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Transcribed Image Text:6.1 Let f:RR and cinR be fixed.
Assume we have
f(x) = f(c) + (x - c)²ƒ¸, (x) with a
1
differentiable function f :R → R.
Show that fis twice differentiable at
x = c and express ƒ (c) in terms of f
6.1 Let f RR and cER be fixed. Assume we have
f(x) = f(c)+(rc)²fi(x)
with a differentiable function f₁: RR. Show that f is twice differentiable
at x=c and express f"(c) in terms of fi.
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