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Differentiate following.
Solution :It requires the product rule & each derivative in the product rule will need a chain rule application as well.
T ′ ( x ) =1/1+(2x)2 (2) (1-3x2)(1/3) +tan-1(2x)(1/3)(1-3x2)(-2/3)(-6x)
= 2(1 - 3x2 )(1/3) /(1+(2x)2 - 2(1 - 3x2 )-(2/3) tan -1 ( 2x )
We know that,
d (tan -1 x ) / dx = (1/(1+x2)
While doing the chain rule with this we remember that we've got to leave the inside function
alone. That means that where we have the x2 in the derivative of tan -1 x we will have to have (inside function )2 .
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in the horizontal bar event the u.s.a scored 28.636,gremany scroed 28.7,romnia scored 27.962,and chain scored 28.537 points.which list shows these scored in descending order
x=21
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1
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