Dummy

+ 2X +3xt + +x+5JX +6 fhd out Slope
X
at (1,35).
S +2X +3X 4 4x + S26 xh+1X
aking the derivative widh ect oK, TaGne he
d(( (1+2x +3x* 44X +x+ 6Xh44X
O+2+6 X + 12x+ S X26X72-}x
2
dt2+ 6X + 12yt+Sx*h+ xr2
2 +6 X+ 12x +SXh 32-
qx
d
Slope m = E
2+6. +12+ -3-+
X=1
20+S - lo
to+C 20*S2S j2.S
2
Slope m 2.
S
Rle
yhnyh-dy
dX dX X)=(X-+X) Cx +5
X)= 3x5 SX+3x2-+SX
fcx)3x+x +SX
Tangthe deriative hidn espeet to X,
Cx) = x+16X +S
3x
Rle
Cx) X+y
3X
)*(x) x)-fu]4
x)) dX 2
taki the derívatie twitt espect to x, ei
3X+) 4x (x+x)
- (X*x) ay 3+5) fox)
2
(3x+5
3X+ (3x+) (2x+1)
-(X+x) 3
3x +5)
6x+3 + loX+S - 3x-
(3X+)2
3X+1oX +S
2
(3X+5)
(x +x)t
+X) +-0
Let t +X pt th EahO
e
thun a d. dy d dy
dX
talkir he demivatve th pect
to +'
d
4t3-
t x+X
takig +the
desivative w'th ves pect
to 'x
ai
d 2X+ 3
X
d x dt
4t. (2Xt1)
dx
3....