Calculus Continuity and Differentiability Lesson by Anil Kumar with Quiz and Test Questions
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3 سال پیش
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Differentiability and Continuity:
Differentiability and Continuity: Differentiability Continuity of Funct...
@mathematicstutor Anil Kumar Math Classes: https://www.globalmathinstitute.com/c...
#AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability
Continuity
The function f is continuous at x=c iff
f(c) exists
lim┬(x→c)〖f(x)〗 exists
lim┬(x→c)〖f(x)〗=f(c)
Differentiability
The function f is differentiable at x=c if f'(c) has a numeric value
If f is differentiable at every value of x in an interval, then f is differentiable on that interval.
NOTE: The limits of f'(c) should exist for differentiability
@mathematicstutor Anil Kumar Math Classes: https://www.globalmathinstitute.com/c...
#AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability
Continuity
The function f is continuous at x=c iff
f(c) exists
lim┬(x→c)〖f(x)〗 exists
lim┬(x→c)〖f(x)〗=f(c)
Differentiability
The function f is differentiable at x=c if f'(c) has a numeric value
If f is differentiable at every value of x in an interval, then f is differentiable on that interval.
NOTE: The limits of f'(c) should exist for differentiability
3 سال پیش
در تاریخ 1400/10/03 منتشر شده
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