The-tangent-to-the-curve-y-x-3-bx-where-b-is-constant-at-x-1-passes-through-the-points-A-1-6-and-2-15-Find-the-value-of-b-

Question Number 56738 by pieroo last updated on 22/Mar/19

The tangent to the curve y = x^{3} + bx, where

b is constant, at x = 1 passes through the

points A (- 1, 6) and (2, - 15) . Find the

value of b .

Answered by tanmay.chaudhury50@gmail.com last updated on 22/Mar/19

\frac{d y}{d x} = 3 x^{2} + b \to m = 3 + b

e q n y = (3 + b) x + c

6 = (3 + b) \times - 1 + c

- 15 = (3 + b) \times 2 + c

21 = (3 + b) (- 1 - 2)

3 + b = - 7

b = - 10

Commented by pieroo last updated on 22/Mar/19

Thanks boss

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Mar/19

m o s t w e l c o m e