Derivative Rules:
Definition
Interpretation
Constant Rule:
Power Rule:
Summation Rule:
Product Rule:
Quotient Rule:
Chain Rule:
Special Derivatives
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Derivative Rules Worksheet: Definition, Interpretation, and Application - Prof. Bert Wachs, Assignments of Calculus
A worksheet on derivative rules, including definitions, interpretations, and examples using various functions such as sin, cos, and tan. Students are asked to find derivatives using the constant rule, power rule, summation rule, product rule, quotient rule, chain rule, and special derivatives.
Typology: Assignments
Pre 2010
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Derivative Rules:
Definition
Interpretation
Constant Rule:
Power Rule:
Summation Rule:
Product Rule:
Quotient Rule:
Chain Rule:
Special Derivatives
Derivative Worksheet
f ( x )= + x +sin( x )+ x
2 2 ฯ
sin( )
( ) cos( )
2 3
2
x
f x x x
2 4 f x = x x โ x
( ) cos( )
2 f x = x x
( ) sin( )
3 f x = x x
sin( ) ( ) 4 โ
x
x f x
( ) sin( 1 )
3 f x = x โ
( ) sin(cos( 1 ))
3 f x = x โ
4 2 f ( x )= x ( x โ 2 x )
( ) sin( 1 )
2 3 f x = x x โ
- = tan
f ( x ) tan( x ) 3 4 x
3 = โ
( ) sin
2 ฯ f x ฯ
2
4 2 3 ( ) x
x x f x
4
2
x x
x f x
4 4 3
sin( ) ( )
โ
x
x f x
2
2
cos( ) ( ) x
x x f x โ
x x
x f x 3
sin( ) ( ) 2 โ
- x
x x f x 1 2
sin( ) ( ) โ
5 3 f x = x โ x + x โ , find
f ' '( x )
5 3 f x = x โ x + x โ , find
( 7 ) f x
- = sin , find
- = sin , find