Răspuns:
1)
a) f'(x)=2x-5
d) f'(x)=2eˣ-1/x+1/(2√x)
g) f'(x) = 2(x-3) = 2x-6
h) f'(x) = 2(x+1)+3(x-2)² = 2x+2+3x²-12x+12 = 3x²-10x+14
i) f'(x) =2·1/2·1/√x+√2 = 1/√x+√2
k) f'(x) == -1/2·1/√x-3/x+x·3ˣ⁻¹ = -1/(2√x)-3/x+x·3ˣ⁻¹
l) f'(x) = 0-5·1/2·1/√x-5sin(x) = -5/(2√x)-5sin(x)
2)
a) f'(x) = eˣ + xeˣ
b) f'(x)=ln(x)+(x-2)/x
c) f'(x)=2x·2ˣ+x²·x·2ˣ⁻¹ = x·2ˣ⁺¹+x³·2ˣ⁻¹
