1) 20%=0.2
2)0.2*4500=900(руб)-снизили
3)4500-900=3600(руб)-стали после скидки
4)0.2*3600=720(руб)-повысили
5)3600+720=4320(руб)-стали стоить
Ответ:коньки стали стоить 4320 рублей.
Ответ:
![y'=\frac{\cos(x)}{\sqrt{1+sin^2{x}}}](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B%5Ccos%28x%29%7D%7B%5Csqrt%7B1%2Bsin%5E2%7Bx%7D%7D%7D)
Пошаговое объяснение:
![y=\ln(\sin(x)+\sqrt{1+sin^2(x)})](https://tex.z-dn.net/?f=y%3D%5Cln%28%5Csin%28x%29%2B%5Csqrt%7B1%2Bsin%5E2%28x%29%7D%29)
Сначала найдём производную натурального логарифма, затем производную подкоренного выражения
![y'=\frac{1}{\sin(x)+\sqrt{1+sin^2(x)}}\times(\cos(x)+\frac{1}{2\sqrt{1+sim^2(x)}}\times2\sin(x)\cos(x))=\\=\frac{1}{\sin(x)+\sqrt{1+sin^2(x)}}\times(\cos(x)+\frac{\sin(x)\cos(x)}{\sqrt{1+sim^2(x)}})=\\=\frac{1}{\sin(x)+\sqrt{1+sin^2(x)}}\times(\frac{\cos(x)\sqrt{1+\sin^2(x)}+\sin(x)\cos(x)}{\sqrt{1+sim^2(x)}})=\\=\frac{1}{\sin(x)+\sqrt{1+sin^2(x)}}\times(\frac{\cos(x)(\sqrt{1+\sin^2(x)}+\sin(x))}{\sqrt{1+sim^2(x)}})=\frac{\cos(x)}{\sqrt{1+sin^2{x}}}](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B1%7D%7B%5Csin%28x%29%2B%5Csqrt%7B1%2Bsin%5E2%28x%29%7D%7D%5Ctimes%28%5Ccos%28x%29%2B%5Cfrac%7B1%7D%7B2%5Csqrt%7B1%2Bsim%5E2%28x%29%7D%7D%5Ctimes2%5Csin%28x%29%5Ccos%28x%29%29%3D%5C%5C%3D%5Cfrac%7B1%7D%7B%5Csin%28x%29%2B%5Csqrt%7B1%2Bsin%5E2%28x%29%7D%7D%5Ctimes%28%5Ccos%28x%29%2B%5Cfrac%7B%5Csin%28x%29%5Ccos%28x%29%7D%7B%5Csqrt%7B1%2Bsim%5E2%28x%29%7D%7D%29%3D%5C%5C%3D%5Cfrac%7B1%7D%7B%5Csin%28x%29%2B%5Csqrt%7B1%2Bsin%5E2%28x%29%7D%7D%5Ctimes%28%5Cfrac%7B%5Ccos%28x%29%5Csqrt%7B1%2B%5Csin%5E2%28x%29%7D%2B%5Csin%28x%29%5Ccos%28x%29%7D%7B%5Csqrt%7B1%2Bsim%5E2%28x%29%7D%7D%29%3D%5C%5C%3D%5Cfrac%7B1%7D%7B%5Csin%28x%29%2B%5Csqrt%7B1%2Bsin%5E2%28x%29%7D%7D%5Ctimes%28%5Cfrac%7B%5Ccos%28x%29%28%5Csqrt%7B1%2B%5Csin%5E2%28x%29%7D%2B%5Csin%28x%29%29%7D%7B%5Csqrt%7B1%2Bsim%5E2%28x%29%7D%7D%29%3D%5Cfrac%7B%5Ccos%28x%29%7D%7B%5Csqrt%7B1%2Bsin%5E2%7Bx%7D%7D%7D)
1)130536/444
888 /294
______
4173
3996
_____
1776
1776
_______
0
2) 5829/87
522 /67
______
609
609
________
0
3) 294
- 67
______
227
4) 58606
+ 227
________
58833
<span>130536:444-5829:87+58606=58833</span>