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by: Abbey McCoy

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# Derivative Rules MATH 142

Abbey McCoy
USC
GPA 3.7

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This is just a list of all the derivative rules from Calculus I.
COURSE
Calculus II
PROF.
Dr. Zeimke
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
MATH 141, MATH 142, calculus 1, Calculus I, calculus 2, calculus II, Derivatives, Derivative Rules, Math
KARMA
25 ?

## Popular in Applied Mathematics

This 3 page Class Notes was uploaded by Abbey McCoy on Sunday January 24, 2016. The Class Notes belongs to MATH 142 at University of South Carolina taught by Dr. Zeimke in Spring 2016. Since its upload, it has received 40 views. For similar materials see Calculus II in Applied Mathematics at University of South Carolina.

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Date Created: 01/24/16
Derivative Rules d (c)=0 dx d (x)=1 dx d n n−1 dx (x )=nx d c• f(x )=c• f '(x) dx ( ) d (f (x)±g (x )= f'(x)±g '(x) dx d ' ' Product Rule:  (f(x)•g (x))= f (x)g(x + f (x)g (x) dx d f x ) g x )f'(x)− f x )g'x ) Quotient Rule:  ( ) = 2 dx g x ) |g x | d Chain Rule:  (f(g (x))= f ( x ))g 'x ) dx d x x dx (e )=e d (ax)=a ln a ) dx d 1 (ln(x)) dx x x 1 loga¿= xln( ) d ¿ dx g( ) If you have a function  |f(x | , use Logarithmic Differentiation. d (sin(x))cos (x) dx d dx (cos(x )=−sin (x) d 2 dx (tan(x))=sec (x) d (csc(x))=−csc (x)cot(x) dx d (ec(x )sec x tan(x) dx d (ot(x))−csc 2(x) dx d −1 1 dx (in (x)= 2 √1−x d −1 −1 dx (os (x)) 2 √ 1−x d −1 1 dx (an (x)) 1+x 2 d −1 −1 dx (sc (x)) x x −1 √ d −1 1 dx (ec (x)) x x −1 √ d cot−1(x)= −1 dx ( ) 1+x 2

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