Legend:
Original
Big Change
Small Change
f₀(x) =
1
f₀(x + dx) =
1
=
f₁(x) =
x
f₁(x + dx) =
x
+
dx
=
=
+
f₂(x) =
x²
f₂(x + dx) =
x²
+
2x·dx
+
(dx)²
=
=
+ 2·
+
f₃(x) =
x³
f₃(x + dx) =
x³
+
3x²·dx
+
3x·(dx)²
+
(dx)³
=
=
+ 3·
+ 3·
+
f₄(x) =
x⁴
(
f₄(x + dx) -
f₄(x)
)
÷ dx =
4x³
+
6x²·dx
+
4x·(dx)²
+
(dx)³
=
4·
+ 6·
+ 4·
+
dev mode:
sliders = dx size & color.
more and related