Question

Вычислите производную функцииf(x)=2x^2+x^3 в точках 2; 4; x; x-3

Answer 1

F(x)=2x² +x³
f(x)' = 4x+3x²

1) f(2)' = 4*2+3*2²=8+12=20 
2) f(4)' = 4*4 + 3*4²=16+48=64
3) f(x)' = 4x+3x²
4) f(x-3)' = 4(x-3)+3*(x-3)² =4x-12 +3(x²-6x+9)=4x-12+3x²-18x+27=3x²-14x+15