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Home Differentiation Higher Derivatives Examples Example 2
 
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Example 2

Find the second derivative of y = sin (2θ). First derivative Put u = 2θ. Then

02_differentiation-433.gif

By the Chain Rule,

02_differentiation-434.gif

Second derivative Let v = 2 cos (2θ). We must find dv/dθ. Put u = 2θ. Then

02_differentiation-435.gif

Using the Chain Rule again.

02_differentiation-436.gif

This simplifies to

02_differentiation-437.gif
Home Differentiation Higher Derivatives Examples Example 2

Last Update: 2006-11-15