Math 121
Section 2.1
Derivatives
The derivative is the slope tangent line to the curve
Limit Definition of a
Derivative
Examples
1) 
using the limit definition of a
derivative.
2) 
using the limit definition of a
derivative.
3) 
using the limit definition of a
derivative.
4) 
using the limit definition of a
derivative.
Power Rule
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Function |
Derivative |
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When looking at the changes between the function and the derivative, it can be observed that the power decreases by a power one and the leading coefficient is multiplied by the exponent. Using this relationship, the power rule for derivative can be developed.
Power Rule
Examples
1)
2)
3)
Rule
where
c is a constant, then 
4)
