for what values a and b is the function differentiable at x=2? 4x−2x^(2 ) x≤2 ax^(3 ) +bx,x>2


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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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