How are derivatives and one-sided derivatives related?

Kyran Hudson 2021-02-12 Answered
How are derivatives and one-sided derivatives related?
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Expert Answer

Delorenzoz
Answered 2021-02-13 Author has 91 answers

Step 1
One-sided derivatives are the derivatives in which ordinary limit is replaced by a one-sided limit.
Step 2
For a function f, one-sided derivatives at some point x = a are
limxaf(x)f(a)xa[Left derivative]
limxa+f(x)f(a)xa[Right derivative]

Step 3
If the one-sided derivatives are equal, then the function has a derivative at x=a,t ^is f(x)=limxf(x)f(a)xa=limx+f(x)f(a)xa

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