Differentiate f(x)=2x-3 using first principal?

Dexter Odom

Dexter Odom

Answered question

2022-03-28

Differentiate f(x)=2x-3 using first principal?

Answer & Explanation

armejantm925

armejantm925

Beginner2022-03-29Added 20 answers

For a function f(x), its derivative using first principal is given by
dfdx=Lth0f(x+h)f(x)h
Here we have f(x)=2x-3,
hence f(x+h)=2(x+h)-3=2x+2h-3
and f(x+h)=f(x)=2h
and dfdx=Lth0f(x+h)f(x)h
=Lth02hh
=Lth02
=2
Dixie Reed

Dixie Reed

Beginner2022-03-30Added 15 answers

Explanation:
differentiating from first principles
f(x)=limh0f(x+h)f(x)h
=limh02(x+h)32x+3h
=limh02x+2h2xh
=limh02hh=2
Result:
f'(x)=2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?