-300*pi*1/((1+10000*1/((pi*x+12)^6))*(pi*x+12)^4) если x=3 (упростите выражение)

$$frac{-1 cdot 300 pi}{left(1 + frac{10000}{left(pi x + 12right)^{6}}right) left(pi x + 12right)^{4}}$$

$$frac{-1 cdot 300 pi}{left(1 + frac{10000}{left(pi x + 12right)^{6}}right) left(pi x + 12right)^{4}}$$

(-300*pi)/((1 + 10000/(pi*(3) + 12)^6)*(pi*(3) + 12)^4)

$$frac{-1 cdot 300 pi}{left(1 + frac{10000}{left(pi (3) + 12right)^{6}}right) left(pi (3) + 12right)^{4}}$$

(-300*pi)/((1 + 10000/(pi*3 + 12)^6)*(pi*3 + 12)^4)

$$frac{-1 cdot 300 pi}{left(3 pi + 12right)^{4} left(frac{10000}{left(3 pi + 12right)^{6}} + 1right)}$$

-300*pi/((1 + 10000/(12 + 3*pi)^6)*(12 + 3*pi)^4)

$$- frac{300 pi}{left(3 pi + 12right)^{4} left(frac{10000}{left(3 pi + 12right)^{6}} + 1right)}$$

$$- frac{300 pi}{left(1 + frac{10000}{left(pi x + 12right)^{6}}right) left(pi x + 12right)^{4}}$$

-942.477796076938/((1.0 + 10000.0/(12.0 + 3.14159265358979*x)^6)*(12.0 + 3.14159265358979*x)^4)

$$- frac{300 pi left(pi x + 12right)^{2}}{pi^{6} x^{6} + 72 pi^{5} x^{5} + 2160 pi^{4} x^{4} + 34560 pi^{3} x^{3} + 311040 pi^{2} x^{2} + 1492992 pi x + 2995984}$$

$$- frac{300 pi left(pi x + 12right)^{2}}{left(pi x + 12right)^{6} + 10000}$$

2
-300*pi*(12 + pi*x)
——————–
6
10000 + (12 + pi*x)

$$- frac{300 pi left(pi x + 12right)^{2}}{left(pi x + 12right)^{6} + 10000}$$

$$- frac{300 pi}{left(1 + frac{10000}{left(pi x + 12right)^{6}}right) left(pi x + 12right)^{4}}$$

/ 3 2 2
-43200*pi + 300*pi *x + 7200*x*pi /
—————————————————————————————-
6 6 5 5 4 4 3 3 2 2
2995984 + pi *x + 72*pi *x + 2160*pi *x + 34560*pi *x + 311040*pi *x + 1492992*pi*x

$$- frac{300 pi^{3} x^{2} + 7200 pi^{2} x + 43200 pi}{pi^{6} x^{6} + 72 pi^{5} x^{5} + 2160 pi^{4} x^{4} + 34560 pi^{3} x^{3} + 311040 pi^{2} x^{2} + 1492992 pi x + 2995984}$$

2
-300*pi*(12 + pi*x)
—————————————————————————————-
6 6 5 5 4 4 3 3 2 2
2995984 + pi *x + 72*pi *x + 2160*pi *x + 34560*pi *x + 311040*pi *x + 1492992*pi*x

$$- frac{300 pi left(pi x + 12right)^{2}}{pi^{6} x^{6} + 72 pi^{5} x^{5} + 2160 pi^{4} x^{4} + 34560 pi^{3} x^{3} + 311040 pi^{2} x^{2} + 1492992 pi x + 2995984}$$

-300*pi
——————————-
/ 10000 4
|1 + ————|*(pi*x + 12)
| 6|
(pi*x + 12) /

$$- frac{300 pi}{left(1 + frac{10000}{left(pi x + 12right)^{6}}right) left(pi x + 12right)^{4}}$$