Question

f(x)=(1)/(sqrt(1-x)),a=(1)/(2) Find f^(')(a) f^(')(x)=-(1)/(2)(1-x)^(-(3)/(2)) f^(')((1)/(2))=-(1)/(2)(1-0.5)^(-(3)/(2)) f^(')((1)/(2))=-(1)/(2)(sqrt((1)/(2)))^(-3) f^(')((1)/(2))=-(1)/(2)(sqrt(2))^(3) f^(')((1)/(2))=-(1)/(2)*2(sqrt(2)) f^(')((1)/(2))=-sqrt(2) Find f'(a) f=-1-0.5 312 3 f=-v2 f'=-2v2) f=-v2

Name: fx1sqrt1 xa12 find fa fx 121 x 32 f12 121 05 32 f12 12sqrt12 3 f12 12sqrt23 f12 122sqrt2 f12 sqrt2 find fa f 1 05 312 3 f v2 f 2v2 f v2 88423
Uploaded: 2023-02-04T14:33:12-08:00
Duration: 2 min 43 s
Channel: Sri K
Description: fx1sqrt1 xa12 find fa fx 121 x 32 f12 121 05 32 f12 12sqrt12 3 f12 12sqrt23 f12 122sqrt2 f12 sqrt2 find fa f 1 05 312 3 f v2 f 2v2 f v2 88423

          f(x)=(1)/(sqrt(1-x)),a=(1)/(2)
Find f^(')(a)
f^(')(x)=-(1)/(2)(1-x)^(-(3)/(2))
f^(')((1)/(2))=-(1)/(2)(1-0.5)^(-(3)/(2))
f^(')((1)/(2))=-(1)/(2)*(sqrt((1)/(2)))^(-3)
f^(')((1)/(2))=-(1)/(2)*(sqrt(2))^(3)
f^(')((1)/(2))=-(1)/(2)*2(sqrt(2))
f^(')((1)/(2))=-sqrt(2)
Find f'(a)
f=-1-0.5 312 3
f=-v2 f'=-2v2) f=-v2

fx1sqrt1 xa12 find fa fx 121 x 32 f12 121 05 32 f12 12sqrt12 3 f12 12sqrt23 f12 122sqrt2 f12 sqrt2 find fa f 1 05 312 3 f v2 f 2v2 f v2 88423

Added by Luz M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/04/2023

Step 1

f(x) = (1)/(sqrt(1-x)) f'(x) = -1/2(1-x)^(-3/2) * (-1) f'(x) = 1/2(1-x)^(-3/2) Show more…

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f(x)=(1)/(sqrt(1-x)),a=(1)/(2) Find f^(')(a) f^(')(x)=-(1)/(2)(1-x)^(-(3)/(2)) f^(')((1)/(2))=-(1)/(2)(1-0.5)^(-(3)/(2)) f^(')((1)/(2))=-(1)/(2)*(sqrt((1)/(2)))^(-3) f^(')((1)/(2))=-(1)/(2)*(sqrt(2))^(3) f^(')((1)/(2))=-(1)/(2)*2(sqrt(2)) f^(')((1)/(2))=-sqrt(2) Find f'(a) f=-1-0.5 312 3 f=-v2 f'=-2v2) f=-v2