Question

8) *
dy
If y = 2(x+logx), then find
dy/dx

Answer 1

Answer:

$Answer</p><p></p><p>Open in answr app</p><p></p><p>Given : 16x4+54x</p><p></p><p>We can write the given question as,</p><p></p><p>16x4+54x=2x(8x3+27)</p><p></p><p>According to the equation,</p><p>a3+b3=(a+b)(a2−ab+b2)</p><p></p><p>So we get,</p><p>2x(8x3+27)=2x((2x)3+33)</p><p></p><p>Using the equation,</p><p>=2x((2x)+3)((2x)2−(2x)(3)+(3)2)</p><p></p><p>16x4+54x=2x(2x+3)(4x2−6x+9) </p><p></p><p>$

hope it will help u

Answer 2

Answer:

$\frac{dy}{dx}=2+\frac{2}{x}$

Step-by-step explanation:

$y=2(x+logx)$

$y=2x+2logx$

On differentiating -

$\frac{dy}{dx}=\frac{d}{dx}(2x) +\frac{d}{dx}(2logx)$

⇒$\frac{dy}{dx}=2\frac{d}{dx}(x)+2\frac{d}{dx}(logx)$

⇒$\frac{dy}{dx}=2(1)+2(\frac{1}{x})$

⇒$\frac{dy}{dx}=2+\frac{2}{x}$