Please, evaluate and simplify different quotients:NSKPSK\frac{f(x+h)-f(x)}{h}ZSK, where PSKh\ne 0ZSK and

osula9a

osula9a

Answered question

2021-12-11

Please, evaluate and simplify different quotients:
f(x+h)f(x)h, where h0 and f(x)f(a)xa where xa for each of the following functions:
f(x)=x22x;
f(x)=45x;
f(x)=x3+2;
f(x)=7x+3

Answer & Explanation

sirpsta3u

sirpsta3u

Beginner2021-12-12Added 42 answers

The first one:
f(x+h)f(x)h=(x+h)22(x+h)(x22x)h=x2+h2+2xh2x2hx2+2xh=h2+2xh2hh=2xh+h2h2hh=2x+h2
Gerald Lopez

Gerald Lopez

Beginner2021-12-13Added 29 answers

I did the second:
f(x)=45x
f(x+h)f(x)h=45(x+h)(45x)h=45x+5x5h4h=5hh=5

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