How do you use the definition of a

Eddie Clarke

Eddie Clarke

Answered question

2022-04-11

How do you use the definition of a derivative to find the derivative of f(x)=1.5x2x+3.7?

Answer & Explanation

Dubliddissefyf8

Dubliddissefyf8

Beginner2022-04-12Added 10 answers

Find f(a+h) and f(a) and then substitute it into the definition and simplify.
f(x)=limh0[1.5(a+h)2(a+h)+3.7][1.5a2a+3.7]h
=1.5(a2+2ah+h2)ah+3.71.5a2+a3.7h
=1.5a2+3ah+1.5h2ah+3.71.5a2+a3.7h=3ah+1.5h2hh
=3a+1.5h-1=3a-1

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