Question

calcucati derivata functiilor:
a)f:(0,infinit) f(x)=(x-2)ln x
b)f:R--->R f(x)=(x patrat×2x+3)e la puterea x
​

Answer 1

Răspuns:

f;(0,+∞)→R f(x)=(x-2)lnx

f `(x)=(x-2) `lnx+(x-2)*(lnx)`=lnx+(x-2)/x

-----------------------------

b. f(x)=(x²+2x+3)eˣ

f `(x)=(x²+2x+3) `*eˣ+(x²+2x+3)(eˣ)`=

(2x+2)eˣ+(x²+2x+3)eˣ=

eˣ(2x+2+x²+2x+3)=

eˣ(x²+4x+5)

Laa  pct  b in paranteza   intre  x² si 2x cred ca este + nu ×

Explicație pas cu pas: