Ответ:

Verified answer

f(x)=5In(x)+e^x

f⁾(x)=(5In(x)+e^x)⁾=(5/x) +e^x

f⁾(1)=(5/1) +e^1= 5+e

f⁾(x) =( (x³+1)/x)⁾ =( (x³+1)⁾*x-x⁾*(x³+1) )/x² = (3x³-x³-1)/x² =(2x³-1)/x²

f⁾(1) = (2*1³-1)/1² = 1

f(x)=3In(x)-x²

f⁾(x)=(3In(x)-x²)⁾= (3/x) -2x

f⁾(1)=(3/1)- 2*1= 1

f(x)=lgх +х³

f⁾(x)=(lgх +х³)⁾= 1/(х*ln(10)) +3x²

f⁾(-1)=1/( -1*ln(10))  +3*(-1)² = 3 - (1/ln10)

если считать ,что ln10≈2,3 то 3 - (1/ln10)= 3 - (1/2,3)=3 - 10/23= 59/23 =

= 2 13/23