How do you use the limit definition to find the

Wertgenib6

Wertgenib6

Answered question

2022-04-21

How do you use the limit definition to find the slope of the tangent line to the graph f(x)=2xx2 at x=0?

Answer & Explanation

aimadorsozf

aimadorsozf

Beginner2022-04-22Added 10 answers

The slope of the tangent at any point is given by the derivative of the function at that point. The definition of the derivative of y=f(x) is
f(x)=limh0f(x+h)f(x)h
So with f(x)=2xx2 and the value of f'(0) sought then;
f(0)=limh0f(h)f(0)h
=limh0{2hh2}{00}h
=limh02hh2h
=limh0(2h)
=2

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