pochodne 2

(13)    f(t) = (f + 4)⁴ + r

(14)    f(z) = (4z² - 5z + 13)~⁶ -

(15)    f(u)

O fi) /(-^r)

(17) f(x)

= (4£_

= y/u² l

V2-óx

^(2-x3)4

(18)    f(z)

(19)    /(*)

(20)    f(x)

(21)    f{x)

(22)    /(a)

(23)    f(x)

(24)    f(x)

(25)    /(*)

(26)    }{x)

(27)    f(x) = ^siax + y/x + 2y/x

(28)    f(x) = arcsin 3x

(29)    f(x) = arctg( 1 — x²)

(30)    f(x) = arcctgi

(31)    /(ar)

(32)    /(ar)

(33)    f(x)

-3x+2

g(x)h(x)k{x)_t gdzie g,h,k są funkcjami rzeczywistymi a sin bx 2x + sin 2x sin² 3rr

1

COS⁴ X sin g+coscc

2    sin 2x

3tgx + 4 ctg²x

3cos²x

arc.t.g 2x arcctg2x

5^x + e

= e

10*

(34)    /(.TT)

(35)    /(ar)

(36)    /(ar)

(37)    f(x)

(38)    f(x)

(39)    /(ar)-

(40)    /(*)

(41)    /(ar)

(42)    /(ar)

= ln

pQ,T² — J )e³ arcsin*²

log₅(a;²) + ln4x ln(ar + y/x² + 1)

i+x_\

1—sinx

log_x a, wskazówka: iog_x a = {gf ln(ln(lnar)) + log ₄(log₄(x)) log_x ln wskazówka: log_x ln x =

c^x

e^c

~lnx

( (43) /(ar) = ar*

\ (44) /(ar) = x*

(45)    f(x) = (sinx)^COSI

(46)    f(x) = (arctgx)^x v (47) /(ar) = (tgx)^

; (48) /(a:) = (1 + ±)* i (49) /(ar) = 5^ln2x ; (50) /(x) = X*¹

'(Si)'m = fi

2