Find-the-slope-of-the-tangent-line-to-the-graph-of-y-4-3y-4x-3-5x-1-at-the-point-P-1-2-

Question Number 91476 by Zainal Arifin last updated on 01/May/20

Find the slope of the tangent

line to the graph of :

y^{4} + 3 y - {4 x}^{3} = 5 x + 1 at the point

P (1, - 2)

Commented by john santu last updated on 01/May/20

(4 y^{3} + 3) y^{'} = 12 x^{2} + 5

y^{'} = \frac{12 x^{2} + 5}{4 y^{3} + 3} \Rightarrow s l o p e = - \frac{17}{29}

Commented by Zainal Arifin last updated on 01/May/20

thank you sir, you are right .