Zdjecie308

4

4

y ~ e^3l+2 • arcsinfax* +1)	>> = ln(sinx)'arctg(4x^3
_ 3arcsin7x	ll-4cos^3 5x
Ssin2x — X	^} y 3x^2+7fg2x
y -4 cosx	m 3 aresin x+cos^2 x
V7x+2ctg5x	y =Ę-- » ■ ■ —- 4lntgx+\
	—4sin2x+%*
arctg3x + 5	cos x+2arctg{7x^2

f(x)- 4ln(orc/gw• x)--Jsinw■_x 5x* + warcsin(7x +1)

y=

W

/(*) =

Oblicayć pochodne funkcji: -/(x)=i*^,-2x*+4jf-7'

Ul = 3 sinx + 2arctgx - 8 \}x^Ą —r

x

-^f(x)=>3x^l —£cos-x+4clgx -57x % 2 f(x) = ~5x² + 2x - Zsin x + arcsinx~±x

y^~L--_l+2\fx* +3*

v7 **

x²+2x+13

7x² + 2* y~{2t + 5tgt)-(7f - 4cos/13)

J> = |j + 2/gx

f{x) = A* + wsinx — wcosx + 2we^<RI /(z) = 3z+arctg{\ + 2r) y^e**-**

y ~ 2x³ * /ń(l + aresin x)

arctgx

y^ssyj9+arctg³(x² + 5)

y~sin³x+\fJnx+4*~² y~3sin²x+4e^lx" y = (2 sin x + 3 *)arctg-Jx ^ = (7x² -/wx|’ •Vj/«^T4x

J' = (2* + 5/g3x)-(7-¹ -4«w(7*^J))

i « (arcsinx)'    = (sińxp

|§ ⁸⁵,7^ +    + 2 arccosx + x

iH ig

y *r ^-lórcsinx - 2Kfx* -    + 4= - -

j    |    *    $/? x

^(x)=s4x⁴ + 3sinx^arccłgx+3lnx - 3x

/■(O^js' 4|p+i-2/g/+5 iogj / + 2/ + 4

/(w) - “ + gin u-u 1 5w + 2e"

2ax³ +hsinx ; 5o + 3/gx

y f ~ - e^x + ^4jc3T^7“ ⁺ ffi + 3 arctgx y = (5x³,+cojx)^< /og₃.

y — ‘-^arbsin (3w) y = 4ari/g³ (l+-J3x)

y = 2 cos⁴ | — +1J+-yl- 5x+3 ^ = ln(2/+3c^5,+7)

/(*) = 7tg(ax)- arctgx² y = ł-_e«*3*₊Ą

X

y- 2e'**+(4x+5)⁷

y-lnx'Sin³x

y = sw³ x + -Jlnx+4^X~²

|3arcsin7x+2x³ 5 z//?³ x^-—

^^(orc/g(Vx)+ e^2x)-^5/gx - * j y?r\prctg{{łx⁵^+e^cosx)‘^5sin1Sx- ~ +2clgx

yĄnxr^x    y = (xr^mu