a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x) = ln(4 + 5x-2x³), x = 0. ii) y2 = 3xy 5, P(2,1). b) Find the x-coordinates of all points on the graph of y = x3 + 2x² - 4x + 5 at which the tangent line is parallel to the line 2y + 8x5 = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
Question
Solve all please as they related please
a) Find an equation of the tangent line, at the designated point, to each of the
following:
i)
f(x) = In(4+5x-2x³), x = 0.
ii)
y² = 3xy 5, P(2,1).
b) Find the x-coordinates of all points on the graph of y = x³ + 2x² - 4x + 5
at which the tangent line is parallel to the line 2y + 8x - 5 = 0.
Transcribed Image Text:a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x) = In(4+5x-2x³), x = 0. ii) y² = 3xy 5, P(2,1). b) Find the x-coordinates of all points on the graph of y = x³ + 2x² - 4x + 5 at which the tangent line is parallel to the line 2y + 8x - 5 = 0.
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