# Thread:

1. ## Implicit Differentiation on TI-Nspire CAS

Hi there, I'm trying to do the following implicit differentiation on my TI-Nspire CAS, and I can't figure it out.

$v = \frac{1}{3} \pi r^2 h$

I want to get: $\frac{dv}{dt} = \frac{2}{3} \pi r \frac{dr}{dt} \frac{dh}{dt}$

Is there any way to get the Nspire to produce that sort of output?

I know that ImpDif of $x^2 + y^2 = 36$ can be implicitly derived by the Nspire to yield $\frac{-x}{y}$ but how about cases where a function is being derived with respect to a variable not found in the function itself (like $t$ as in the case above)? (if this makes sense)

Warm regards,

Abe
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9402362108230591, "perplexity_flag": "middle"}