What is taylor f(x)=30^3-3x^2+12x-74 ?

The answer to taylor f(x)=30^3-3x^2+12x-74 is 26926+12x-3x^2

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taylor f(x)=30^3-3x^2+12x-74

taylor

f (x) = 3 0^{3} - 3 x^{2} + 12 x - 74

26926 + 12 x - 3 x^{2}

Solution steps

Apply the Taylor Formula

= 26926 + \frac{\frac{d}{d x} ( 3 0 ^{3} - 3 x ^{2} + 12 x - 74 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 3 0 ^{3} - 3 x ^{2} + 12 x - 74 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 3 0 ^{3} - 3 x ^{2} + 12 x - 74 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 26926 + \frac{12}{1 !} x + \frac{- 6}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10}

Refine

= 26926 + 12 x - 3 x^{2}

\frac{d}{d x} (6 e^{- 2 x})

x \to - 2 + lim (\frac{x + 3}{x + 2})

\frac{d}{d x} (x^{3} (3 x + 1)^{6})

x \to - 1 lim (\frac{x ^{3} - 8}{x - 2})

\frac{d}{d x} (5 x^{\frac{4}{3}})

What is taylor f(x)=30^3-3x^2+12x-74 ?
The answer to taylor f(x)=30^3-3x^2+12x-74 is 26926+12x-3x^2