pochd

pochd



50 PifftrtHllation of Funcilons 1C*- 2

417. y~(3—2sin*)'.

Solu Ilon.    y* 6 (3—2 sin *)*• (3 — 2 sin x)' >■ 5 (3 —2 sta x)* (— 2 co* x) >

— — 10 co* x (3—2slax)f

418. y—tanx— -y tan'x + j tan'x.

423.    ---L

J 3 co**x co*


419.    y — Kcot*— Kcot o.

420.    y-2x + 5cos'x.    424. y = ^/$*nx-2c<xx

421*. x - cosec*/ + sec*/. 425. y -    ^ •

«2- w—

426.    y— l/l -farc sin x.

427.    y — Karć tanx— (arc sin *)*.

arc lim'

429.    y-K*£* + *.

430. y-2^—2*-f I -fln'x.

431.    y->sin3x+cos-g--f tanK^r-


428.    y--

Solu Ilon. (,'-co«3xW-*tfly(-y) +^ryj(Kr)'-3co»3x-


1 * . 1 5"'"r+r/;wV.r'

432.    y—sln(x*—5x-ł-I)-f tan-j.

433.    /(*)-cos(ox + P).

434.    /(/) = sin/sin(/+q>).

435>

436.    /(*)=acot£.

437.    y — — -^cos(5x*) — jC03x\

438.    y—arc sln2x.

Sol u Ilon. / -y_L-(2x)* o /■ 2_J,

KI —(2*)*    KT^T?

441.    y=*arclan-j.

442.    y = arccot


439.    y —arcsln^.

440.    /(x)«-arccosl/7.

447.    y — trccos.

443. y-5e“ł .

444

445.    y-xMO".

446.    f(t)-/sin2'.


448.    y-ln(2x + 7).

449.    ((■ log sin x.

450.    y — ln(l—x*).

451.    y —In* x—ln(lnx).

452.    y ■■ In (e* *f 5 sin x— 4 atc sin x).

453.    y-»arc tan (Inx) + ln (arc tan x).

454.    y- /lnx + I -Hn(Vx-f 0-

F. Misctllaneous Functions

455**. y—sin’5xcos*-g-.

II    4

456. f/“ —5tx_2f.-J=2-. _ _    15    10    l

4o7. y«=    4 (x—3)4 3U—3)' 2lx— Z?'

458

45».

■'60- y"775T9-

462.    +

463.    !/- j /(I + *T—f '/(l + *1)1-

4M- y-WWi-

465. y-x*(a—2x,)\

v-(^r

9    3    2    I

467' y“Mx + 2)»“(IT2r*‘ł‘tr4.2)r"“2(x + 2)ł*

468.    y — (a-fx)/o—Jf-

469.    y- /(x + q)(x + 6)UTo.

470.    z — y \-Vy.

471.    f (/) = (2/ t l)(3/ -f 2) J/5T+2.

li


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