TOPIC 1 Higher Derivatives 1-x 1 + X Q. #1 Given f(x)=- , please find derivatives below. Hint: Always simplify between derivatives ! a) f(x) = G=0 f23=(1-x)(x+1)-(1-x)(1+ (1+x) fl= -(x+1)-(1-x)(1) (1+x)³ b) f(x)= x()](1+x)²-(+) (-3) [(1 + x)²³) ³ c) f"(x) = 0 - (1+x) (2) (- (1 + x)² = 4 (1+x) (1+x) Final Answer -2 f'(x = (1+x²² Ofw=-x-1-1+X (1+x) P'(x) = (1+x) Final Answer Final Answer
TOPIC 1 Higher Derivatives 1-x 1 + X Q. #1 Given f(x)=- , please find derivatives below. Hint: Always simplify between derivatives ! a) f(x) = G=0 f23=(1-x)(x+1)-(1-x)(1+ (1+x) fl= -(x+1)-(1-x)(1) (1+x)³ b) f(x)= x()](1+x)²-(+) (-3) [(1 + x)²³) ³ c) f"(x) = 0 - (1+x) (2) (- (1 + x)² = 4 (1+x) (1+x) Final Answer -2 f'(x = (1+x²² Ofw=-x-1-1+X (1+x) P'(x) = (1+x) Final Answer Final Answer
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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ª- (+ (-3)
[(1 + x)²³) ³
c) f"(x)
2
= 0-(1+x) (2) (-2
(1 + x)²
=
4 (1+x)
(1+x)"
Final Answer
-2
f'(x) = (²+²x³²²
Ofw=-x-1-1+X
(1+x)
P'(x) = (1+x)
Final Answer
Final Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbed15dc4-f7d5-4c59-88ec-c5b05b5850af%2F20de0016-b03a-42ac-8bfc-d4a069fc76cd%2Foekmiqe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:TOPIC 1 Higher Derivatives
1-.x
Q. #1 Given f(x)= , please find derivatives below.
Hint: Always simplify between derivatives !
1 + X
a) f(x) =
G=0
f23=(1-x)(x+1)-(1-x)(1+x)
(1+x)
f² = -(x+1)-(1-x)(1)
tr
b) ƒ"(x) = x (-)](1+x)ª- (+ (-3)
[(1 + x)²³) ³
c) f"(x)
2
= 0-(1+x) (2) (-2
(1 + x)²
=
4 (1+x)
(1+x)"
Final Answer
-2
f'(x) = (²+²x³²²
Ofw=-x-1-1+X
(1+x)
P'(x) = (1+x)
Final Answer
Final Answer
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