Question

найти производные функций:
y=arcctg(1-x)
y=arctg(4x^2+1)

Answer 1

y`=-1*(-1)/(1+(1-x)²)=1/(1+1-2x+x²)=1/(x²-2x+2)

y`=1*8x/(1+(4x²+1)²)=8x/(1+16x^4+8x²+1)=8x/(16x^4+8x²+2)4x/(8x^4+4x²+1)