a) b) Curve C has equation y = tan³x - cos²x. Find the equation of the tangent to curve C when x = F. Curve K has equation y = 5 - x x². - i) Use the Quotient Rule to find 24 dy dx You do not need to simplify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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a)
b)
Curve C has equation y = tan³x - cos²x.
Find the equation of the tangent to curve C when x =
Curve K has equation y =
5
x²
i) Use the Quotient Rule to find
x
24
dy
dx
Fit
You do not need to simplify your answer.
ii) Find the coordinates of the stationary values on curve K.
c) If -3x5 +x+4y² - 7y = 13, find in terms of x and y.
dy
dx
Transcribed Image Text:a) b) Curve C has equation y = tan³x - cos²x. Find the equation of the tangent to curve C when x = Curve K has equation y = 5 x² i) Use the Quotient Rule to find x 24 dy dx Fit You do not need to simplify your answer. ii) Find the coordinates of the stationary values on curve K. c) If -3x5 +x+4y² - 7y = 13, find in terms of x and y. dy dx
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