Homework 4 P3Solutionfx 5x3 fx h 5xh3 fxh fx 5x h3 5x3

Homework 4 P3

f(x) = 5x^3

f(x +h) = 5(x+h)^3

f(x+h) - f(x) = 5(x +h)^3 - 5x^3 = 5 { (x +h)^3 - x^3 }

Use the formula : a³ – b³ = (a – b)(a² + ab + b²)

f(x+h) - f(x) = 5(x +h)^3 - 5x^3 = 5( h( x^2 +h^2 +xh)

{f(x+h) - f(x) }/h = { 5( h( x^2 +h^2 +xh) }/h

= 5x^2 +5h^2 +5xh

$Homework 4 P3Solutionf(x) = 5x^3 f(x +h) = 5(x+h)^3 f(x+h) - f(x) = 5(x +h)^3 - 5x^3 = 5 { (x +h)^3 - x^3 } Use the formula : a3 – b3 = (a – b)(a2 + ab + b2) f($

Homework 4 P3Solutionfx 5x3 fx h 5xh3 fxh fx 5x h3 5x3

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