Practice problem
Determine the quadratic Taylor polynomial approximation to the function
f(x)=40x4−3x2+x+23f(x) = 40 x^4 - 3 x^2 + x + 23f(x)=40x4−3x2+x+23
at x=0x=0x=0.
f(x)≈f(x) \approxf(x)≈ -3 x2+x^2 +x2+ 1 x+x +x+ 23.
f(x)≈f(x) \approxf(x)≈ -2 x2+x^2 +x2+ 2 x+x +x+ 22.
f(x)≈f(x) \approxf(x)≈ - x2+x^2 +x2+ 3 x+x +x+ 21.
Type a concept, like “slope” or “photosynthesis”.