What is maclaurin sqrt(4-3x) ?

The answer to maclaurin sqrt(4-3x) is 2-3/4 x-9/64 x^2-27/512 x^3-405/16384 x^4+\ldots

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maclaurin sqrt(4-3x)

maclaurin

4 - 3 x

2 - \frac{3}{4} x - \frac{9}{64} x^{2} - \frac{27}{512} x^{3} - \frac{405}{16384} x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

= 2 + \frac{- \frac{3}{4}}{1 !} x + \frac{- \frac{9}{32}}{2 !} x^{2} + \frac{- \frac{81}{256}}{3 !} x^{3} + \frac{- \frac{1215}{2048}}{4 !} x^{4} + \dots

Refine

= 2 - \frac{3}{4} x - \frac{9}{64} x^{2} - \frac{27}{512} x^{3} - \frac{405}{16384} x^{4} + \dots

f (x) = ln (sin (x) + 4)

\frac{d}{d x} (1000 (sin (x)) (e^{- 2 x}))

\int \frac{cos ( 9 x )}{1 + sin ^{2} ( 9 x )} d x

\int \frac{x}{x ^{2} + y} d x

\frac{d}{d t} (e^{\frac{t ^{2}}{2}})

What is maclaurin sqrt(4-3x) ?
The answer to maclaurin sqrt(4-3x) is 2-3/4 x-9/64 x^2-27/512 x^3-405/16384 x^4+\ldots