Find the Slope of the Curve at the Given Point $y = x ^ { 2 } + 5 x , P ( 4,36 )$

question 170

Multiple Choice

Find the slope of the curve at the given point P and an equation of the tangent line at P.
- $y = x ^ { 2 } + 5 x , P ( 4,36 )$

• A) slope is \(\frac { 1 } { 20 } ; y = \frac { x } { 20 } + \frac { 1 } { 5 }\)
• B) slope is \(- \frac { 4 } { 25 } ; y = - \frac { 4 x } { 25 } + \frac { 8 } { 5 }\)
• C) slope is \(- 39 ; y = - 39 x - 80\)
• D) slope is \(13 ; y = 13 x - 16\)

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