ZIf y = 2x³ + then y' = 3. %3D 1 If f(z)- 1 +1 and g(z) = V7 then the derivative of f(g(z)) = %3D 21 if z+0, Let f(x) = k if z = 0. OA OA 2 Iffis continuous at x = 0, then k = 6z + 1 2E(z+1) OA1 O B. OB. -(z+1) 1 1 3z 2z1/2 1 -2 (2 + 1) 1 O.O 6z 22/2 OD. D. O D. 1 (z+1)? 2 1 3z 23/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
ZIfy
21 +
then y
3.
%3D
1
If f(z)
- and g(z) = /ī then the derivative of f(g(z)) =
%3D
%3D
Let f(x) = [k
if z + 0,
1* + 1
if æ = 0.
A.
OA
If f is continuous at x = 0, then k =
1
6z +
1
2/z(z +1)
A. 1
В.
OB.
В.
1
1
32
-(z+ 1)
2z/2
1
OC.
-2z
(2² + 1)?
1
1
O C.0
6z
2z3/2
D.
OD.
D.
1
(z+1)a
2
1
3z
Transcribed Image Text:ZIfy 21 + then y 3. %3D 1 If f(z) - and g(z) = /ī then the derivative of f(g(z)) = %3D %3D Let f(x) = [k if z + 0, 1* + 1 if æ = 0. A. OA If f is continuous at x = 0, then k = 1 6z + 1 2/z(z +1) A. 1 В. OB. В. 1 1 32 -(z+ 1) 2z/2 1 OC. -2z (2² + 1)? 1 1 O C.0 6z 2z3/2 D. OD. D. 1 (z+1)a 2 1 3z
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