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# Evaluating derivatives Evaluate and simplify the following ## Problem 35RE Chapter 3

Calculus: Early Transcendentals | 1st Edition

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Problem 35RE

Evaluating derivatives? ?Evaluate and simplify the following derivatives. d ?1 ?x dx(tan (e ) at x=0

Step-by-Step Solution:
Step 2 of 3

Solution 35RE Step1: d 1 x Given dx(tan (e ) at x=0 d 1 x First we find dx(tan (e ) We know that d[tan (x)] = 1 dx 1+x2 d (e ) = ae x dx Step 2: d 1 x 1 d x dx(tan (e ))= 1+(e )2dx(e ) = 12x(e )x (e ) = 1+e2x

Step 3 of 3

##### ISBN: 9780321570567

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Evaluating derivatives Evaluate and simplify the following

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