Question

What is the symbol for the second derivative?

Answer 1

Second derivative:

The second derivative is the derivative of the first derivative of a function.

If $y=f\left(x\right)$ be the given function, then the symbols used for the first derivative are:

$\mathit{f}\mathbf{\text{'}}\left(x\right)$ or $\mathit{y}\mathbf{\text{'}}$ or $\frac{\mathbf{d}\mathbf{y}}{\mathbf{d}\mathbf{x}}$

Thus, the symbols used to represent the second derivative are:

$\mathit{f}\mathbf{\text{'}\text{'}}\left(x\right)$ or $\mathit{y}\mathbf{\text{'}\text{'}}$ or $\frac{{\mathbf{d}}^{\mathbf{2}}\mathbf{y}}{\mathbf{d}{\mathbf{x}}^{\mathbf{2}}}$

Hence, the symbol for the second derivative $\mathit{f}\mathbf{\text{'}\text{'}}\left(x\right)$ or $\mathit{y}\mathbf{\text{'}\text{'}}$ or $\frac{{\mathbf{d}}^{\mathbf{2}}\mathbf{y}}{\mathbf{d}{\mathbf{x}}^{\mathbf{2}}}$