If w=xy+z with x=cos t,y=sin and z=t . Calculate dw/dt by using chain rule.
Answers
Answered by
3
Given:
w = x y + z where, x=cos t, y=sin t and z=t.
To Find:
Calculate dw/dt using chain rule.
Solution:
Since, w= x y + z
Therefore,
or ,
Since,
Answered by
86
SOLUTION :
GIVEN
w = xy + z with x=cos t , y=sin t and z = t
TO DETERMINE
CONCEPT TO BE IMPLEMENTED
If w is a function of x, y, z and x, y, z are functions of t then By chain rule
EVALUATION
Here it is given that
w = xy + z
So
Also
x=cos t , y=sin t and z = t
So
Hence by the Chain Rule
FINAL RESULT
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