Question

Cine mă poate ajuta? Urgent...

Answer 1

F(x)=e^sinx    f(x)=F'(x)
f(x)=e^sinx·(sinx)'=e^sinx· cosx

b)  F(x)=arcsin(x²/3)  f(x)=F'(x)
f(x)=1/√(1-x^4 /9)·(x²/3)'=1/√(1-x^4 /9)· (2/3)x    te precepi credca

c) F(x)=√(x²+1)+ (1/2)·√(㏑x)³=(x²+1)^(1/2)  + (1/2)·(㏑x)^(3/2)
f(x)=1/(2[x²+1])·2x + (1/2)·(㏑x)^(1/2)·3/2=x/(x²+1) + 3/4 √㏑x

d) F(x)=(1/3)arctg(2x²/3)
f(x)=(1/3)·1/[1+(2x²/3)²]·4x/3=4x/(9+4x^4)

e) F(x)=(x²+1)/x - 3^(2x+1)+(sin3x)/4
f(x)=1-1/x² -3^(2x+1)㏑3·2+cos3x ·3/4

Answer 2

Cine ma ajuta si pe mine la niste exercitii la mate