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Find $fraction numerator d over denominator d x end fraction open parentheses fraction numerator 1 plus sin squared x over denominator x plus tan cubed 15 x end fraction close parentheses$ .

Top of Form

1. $fraction numerator 2 sin x cos x over denominator 1 plus 45 tan squared 15 x end fraction$

2. $fraction numerator left parenthesis x plus tan cubed 15 x right parenthesis left parenthesis 2 sin x cos x right parenthesis minus left parenthesis 1 plus sin squared x right parenthesis left parenthesis 1 plus 45 tan squared 15 x s e c squared 15 x right parenthesis over denominator left parenthesis x plus tan cubed 15 x right parenthesis squared end fraction$

3. $fraction numerator left parenthesis x plus tan cubed 15 x right parenthesis left parenthesis 2 sin x cos x right parenthesis minus left parenthesis 1 plus sin squared x right parenthesis left parenthesis 1 plus 45 tan squared 15 x right parenthesis over denominator left parenthesis x plus tan cubed 15 x right parenthesis squared end fraction$

4. $fraction numerator 1 plus 2 sin x cos x over denominator 1 plus 15 tan squared 15 x end fraction$

Bottom of Form

If , find for and the equation of the tangent line to at .

1. ; equation of the tangent line is $y equals fraction numerator 5 x minus 13 over denominator 4 end fraction$

2. ; equation of the tangent line is $y equals fraction numerator negative 4 x plus 13 over denominator 5 end fraction$

3. ; equation of the tangent line is $y equals fraction numerator 4 x plus 13 over denominator 5 end fraction$

4. ; equation of the tangent line is $y equals fraction numerator negative 5 x minus 13 over denominator 4 end fraction$