If y- A x -B x 2- then x 2 d 2 y d x 2 is equal to

The correct option is A 2y Given, y= A x +B x ^ 2 On differentiating w,r,t x , we get ⇒ dy dx = A x ^ 2 +2Bx Again differentiating, w ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Higher Order Derivatives

If y= A x +...

Question

If $y = \frac{A}{x} + B x^{2}$ , then $x^{2} \frac{d^{2} y}{d x^{2}}$ is equal to

2 y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y^{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

If y=x sin(logx)+xlogx,then $x^{2} \frac{d^{2} y}{d x^{2}} - x \frac{d y}{d x} + 2 y$ =

y = {(x + \sqrt{1 + x^{2}})}^{n}

(1 + x^{2}) \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x}

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})

(x_{4}, y_{4})

y_{1} + y_{2} + y_{3} + y_{4}

y = f (x) = (x + \sqrt{1 + x^{2}})^{n}

(1 + x^{2}) \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x}

y = a cos (ln x) + b sin (ln x)

x^{2} \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x}

Join BYJU'S Learning Program