Q1) use the definition of the derivative to find f'(x) f(x) = 122-1 |x-1 f'(x) = f'(x) = lim ho f'(x) lim hyo = lim h-so f'(x) = lim f(a+h)-f(x) f'(x) = -1 x+h-1 √x7 f'(x) = -1 h Jath-1 √x-1 f'(x) = Lim (x-1) - (x+h-1) hyo - -h - ho h√xth- h √x+h-1 √√2-1 2 (2²-1) √2²7 ऐस b √x+h-1 2(2-1)³/2 1 J h √athy √xt √x=1+√x+h-1 x++ x+h-l
Q1) use the definition of the derivative to find f'(x) f(x) = 122-1 |x-1 f'(x) = f'(x) = lim ho f'(x) lim hyo = lim h-so f'(x) = lim f(a+h)-f(x) f'(x) = -1 x+h-1 √x7 f'(x) = -1 h Jath-1 √x-1 f'(x) = Lim (x-1) - (x+h-1) hyo - -h - ho h√xth- h √x+h-1 √√2-1 2 (2²-1) √2²7 ऐस b √x+h-1 2(2-1)³/2 1 J h √athy √xt √x=1+√x+h-1 x++ x+h-l
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
![Q1) use the definition of the derivative to find f'(x)
f(x) == -1
f'(x) lim
hyo
=
f'(x) = lim
hyo
f'(x) = (im
h-so
f'(x) = Lim
hyo
f'(x) = lim
ho
f'(x) = -1
f'(x)
f (x+h)-f(x)
h
x+h-1
=
√x7
lim - h
-
2 (2-1) √2+
-
h √xth-1 √√x-1
(x-1)-(x+h-1)
h √x+h-1 √x+
h √ath1
-1
2(x-1)³/2
उस
b
√x+h-1
√√x-
J
√x++√√x+h-l
√2²=1
√√√√2-1+√√√x+h-l](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4be50db6-19e4-41fe-8b0c-6d619944736f%2Fef172124-627b-4f1f-a25c-9f53e4405b55%2Fjtr11a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1) use the definition of the derivative to find f'(x)
f(x) == -1
f'(x) lim
hyo
=
f'(x) = lim
hyo
f'(x) = (im
h-so
f'(x) = Lim
hyo
f'(x) = lim
ho
f'(x) = -1
f'(x)
f (x+h)-f(x)
h
x+h-1
=
√x7
lim - h
-
2 (2-1) √2+
-
h √xth-1 √√x-1
(x-1)-(x+h-1)
h √x+h-1 √x+
h √ath1
-1
2(x-1)³/2
उस
b
√x+h-1
√√x-
J
√x++√√x+h-l
√2²=1
√√√√2-1+√√√x+h-l
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