Difference Quotient

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David Cohen questions just for fun.
Enjoy.

IMG_20220205_215243.jpg
 
A.

MSP517311bgg80ci86h0f2c00001if0bfeb4936fgad
for f(x)=1-x^3

MSP107211ge9c3i812ch80ac00004h2b1i079a4chf21


=
MSP99121h3c43i5bcidf2id00001cf989f38dfd4029


=
MSP192423a09689539ig19f00004d72a28i5hd5i5i0
......factor out -1 in numerator

=
MSP859013268b50b854eibf00002i1hag7ha8900bfh
.....factor numerator

=
MSP1034723ffg93dga92a1h100004gi0303ie309e2ea
.........simplify


=
MSP123051464bfe1be23328h000057ic8h16fc1109b0



B.

MSP16951hd0fbh80fdc9b1i00000gi09bfic6b025h2
for f(x)=-3/x^2

MSP39471856084gcech5g6b000043i5c46eb5ad2db0


=
MSP388522379i2f1h01i2ed00005adcf1g6879dcga0


=
MSP874222379e67f9c1ebi40000304e918i6c48h95d


=
MSP23411h3c49aic51911f1000010cbfi97580507i5


=
MSP41141daaegb3d16655g400000egg7a9gh4263ca0
 

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