for-what-values-a-and-b-is-the-function-differentiable-at-x-2-4x-2x-2-x-2-ax-3-bx-x-gt-2-

Question Number 174672 by Best1 last updated on 08/Aug/22

f o r w h a t v a l u e s a a n d b i s t h e

f u n c t i o n d i f f e r e n t i a b l e a t x = 2 ?

4 x - 2 x^{2} x ⩽ 2

{a x}^{3} + b x, x > 2

Answered by MJS_new last updated on 08/Aug/22

{a x}^{3} + b x = 4 x - 2 x^{2} with x = 2

3 {a x}^{2} + b = 4 - 4 x with x = 2

\Rightarrow a = - \frac{1}{2} \land b = 2

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