Q1: Find the following: a. Differentiate with respect to the parameter t x = sin?t, y cos²t b. Find the derivative dy/dx for the function X=sin2t, y=-cost at the point t-n/6. e. Find the equation of the tangent line to the curve x-t-2t, y3t²+2t at the point t-2.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Topic Video
Question
Q1: Find the following:
a. Differentiate with respect to the parameter t
x = sin?t, y= cos²t
b. Find the derivative dy/dx for the function
x-sin2t, y=-cost at the point t-r/6.
e. Find the equation of the tangent line to the
curve x-t-2t, y=t2+2t at the point t-2.
Transcribed Image Text:Q1: Find the following: a. Differentiate with respect to the parameter t x = sin?t, y= cos²t b. Find the derivative dy/dx for the function x-sin2t, y=-cost at the point t-r/6. e. Find the equation of the tangent line to the curve x-t-2t, y=t2+2t at the point t-2.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning