Derivative Trig Functions HELP

roksteady

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Feb 6, 2009
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I did the problems below and am just wondering if i am right:

Find derivative:
1. ln(3X^2 + x) arcsin(3x^2 + x)
2. y= ln(3x^2 + x) arctan(3X^2 + x)

For 1 I got: ln(3x^2 + x)(6x +1)/ sqrt(1-(3x^2 + x)^2) + arcsin(3X^2 + x)(6x+1)/(3X^2 + x)

For 2: ln(3x^2 + x)(6x +1)/ sqrt(1+(3x^2 + x)^2) + arcsin(3X^2 + x)(6x+1)/(3X^2 + x)
 
roksteady said:
I did the problems below and am just wondering if i am right:

Find derivative:
1. ln(3X^2 + x) arcsin(3x^2 + x)
2. y= ln(3x^2 + x) arctan(3X^2 + x)

For 1 I got: ln(3x^2 + x)(6x +1)/ sqrt(1-(3x^2 + x)^2) + arcsin(3X^2 + x)(6x+1)/(3X^2 + x)

For 2: ln(3x^2 + x)(6x +1)/ sqrt(1+(3x^2 + x)^2) + arcsin(3X^2 + x)(6x+1)/(3X^2 + x) << Incorrect - You are differentiating "arctan" here....

Others look good....
 
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