Question

Translate expressions written in Leibniz notation to “prime” notation, and vice versa.

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

Short answer

$\frac{d^{2}y}{d{x}^2}=y^{\text{'}\text{'}}\left(x\right)$

Step-by-step solution

Given Information

The given expression is$\frac{d^{2}y}{d{x}^2}$

Simplification

$\frac{d^{2}y}{d{x}^2}$is written in Leibnitz notation.

In means differentiation of function $y$w.r.t $x$.

In prime notation, it is written as$\frac{d^{2}y}{d{x}^2}=y^{\text{'}\text{'}}\left(x\right)$