Let the function y = f(x) be defined by the equation x² + y² + 2x + 4y − 21 = 0. dy (a) Use implicit differentiation to find the derivative dx (b) Evaluate the derivative at the point (0,-7). Enter your answer in the blank below. (c) Find all points on the curve where the slope of the tangent line is Find both x and y coordinates of these points. Round I your answers to two decimal places if necessary. dy dx -1.

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Let the function y = f(x) be defined by the equation
x² + y² + 2x + 4y − 21 = 0.
dy
(a) Use implicit differentiation to find the derivative dx
(b) Evaluate the derivative at the point (0,-7). Enter your answer in the blank below.
−1.
dy
(c) Find all points on the curve where the slope of the tangent line is
dx
Find both x and y coordinates of these points.
Round your answers to two decimal places if necessary.
Transcribed Image Text:Let the function y = f(x) be defined by the equation x² + y² + 2x + 4y − 21 = 0. dy (a) Use implicit differentiation to find the derivative dx (b) Evaluate the derivative at the point (0,-7). Enter your answer in the blank below. −1. dy (c) Find all points on the curve where the slope of the tangent line is dx Find both x and y coordinates of these points. Round your answers to two decimal places if necessary.
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