What is maclaurin 9e^{(-4x)} ?

The answer to maclaurin 9e^{(-4x)} is 9-36x+72x^2-96x^3+96x^4+\ldots

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maclaurin 9e^{(-4x)}

maclaurin

9 e^{(- 4 x)}

9 - 36 x + 72 x^{2} - 96 x^{3} + 96 x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

= 9 + \frac{\frac{d}{d x} ( 9 e ^{- 4 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 9 e ^{- 4 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 9 e ^{- 4 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 9 + \frac{- 36}{1 !} x + \frac{144}{2 !} x^{2} + \frac{- 576}{3 !} x^{3} + \frac{2304}{4 !} x^{4} + \dots

Refine

= 9 - 36 x + 72 x^{2} - 96 x^{3} + 96 x^{4} + \dots

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What is maclaurin 9e^{(-4x)} ?
The answer to maclaurin 9e^{(-4x)} is 9-36x+72x^2-96x^3+96x^4+\ldots