# Find the points on the curve where the tangent is horizontal or vertical.1. 3t, y t2 -32. 2cos0, y= sin 20.

Question
38 views help_outlineImage TranscriptioncloseFind the points on the curve where the tangent is horizontal or vertical. 1. 3t, y t2 -3 2. 2cos0, y= sin 20. fullscreen
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Step 1

Given: help_outlineImage Transcriptionclose(a). x -3t y = t2 -3 (b). x 2cos, y = sin 20 fullscreen
Step 2

(a). Differentiate ‘x’ and ‘y’ with respect to ‘t’: help_outlineImage Transcriptionclosed )-)() (1) dt (x) dt 3r2 -3 dt dt dx 음아올마음이 d d -(y) dt )=)() (3) dt dt dy = 2 dt fullscreen
Step 3

Now, find dy/dx by  and  and find the... help_outlineImage Transcriptionclose2t dx dx3t2 -3 dt for horizontal tangents, we have slope dy 2t 0 3t2-3 2t 0 t = 0 Put the value of 't in given equation x =-3t= (0)'-3-0 y =-3= (0)-3 =-3 Therfore, at (0,-3), the tangent is horizontal. fullscreen

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### Derivative 