Question

Am si eu nevoie de rezolvare va rog
Calculati derivata fiecareia dintre urmatoarele functii​

Answer 1

Răspuns:

f)f(x)=2ˣ+5x

f `(x)=2ˣln2+5ˣln5

g)f(x)=lnx-x+1

f `(x)=(lnx) `-x`+1`=

1/x-1+0=1/x-1

h)f(x)=2sinx+3cosx

f `(x)=(2sinx) `+(3cosx) `=

2cosx-3sinx

i f(x)=x²+2⁻⁻ˣ

f `(x)=(x²) `+(2⁻⁻ˣ) `=

2x-2⁻⁻ˣln2

j)f(x)=tgx+ctgx=.>

f `(x)=(tgx) `+(ctg x) `=

1/cos²x-1/sin²x=

(sin²x-cos²x)/sin²x*cos²x=

-cos2xsin²c*cos²x

Explicație pas cu pas: