Evaluate a derivative at a point with the source calculator workflow

The source’s self-reading calculator procedure gives two routes: press MATH, then 8:nDeriv(; or press ALPHA, then WINDOW, then 3:nDeriv(. Its first screen shows a derivative template with slots for the variable, function and evaluation point. These are the retained source calculator instructions, not a claim about every calculator model.

Fill the template with differentiation variable $X$, function $X^2$ and evaluation point $X=2$, then press ENTER. The second printed screen displays $\left.d(X^2)/dX\right|_{X=2}$ and result 4. Thus the first derivative at $x=2$ is 4. Independently, $y^{\prime}=2x$ confirms the value.

Use the numerical derivative template for $\ln(2X^3)$ with respect to $X$ at $X=5$. The printed result is 0.600 (to 3 s.f.). Independently, $y^{\prime}=6x^2/(2x^3)=3/x$ on the real logarithm domain $x>0$, so the exact value is $3/5$. The source prints no separate screen or button sequence for this part.