What is taylor sqrt(x+4) ?

The answer to taylor sqrt(x+4) is 2+1/4 x-1/64 x^2+1/512 x^3-5/16384 x^4+\ldots

Popular >

taylor sqrt(x+4)

taylor

x + 4

2 + \frac{1}{4} x - \frac{1}{64} x^{2} + \frac{1}{512} x^{3} - \frac{5}{16384} x^{4} + \dots

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 2 + \frac{\frac{1}{4}}{1 !} x + \frac{- \frac{1}{32}}{2 !} x^{2} + \frac{\frac{3}{256}}{3 !} x^{3} + \frac{- \frac{15}{2048}}{4 !} x^{4} + \dots

Refine

= 2 + \frac{1}{4} x - \frac{1}{64} x^{2} + \frac{1}{512} x^{3} - \frac{5}{16384} x^{4} + \dots

y = 4 - x

\frac{d}{d x} (10 x lo g_{10} (100 x))

ln (y)

y = x^{2} sin^{7} (x) + x cos^{- 6} (x)

\int \frac{1}{- 20 x - 20 x} d x

What is taylor sqrt(x+4) ?
The answer to taylor sqrt(x+4) is 2+1/4 x-1/64 x^2+1/512 x^3-5/16384 x^4+\ldots