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(b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line

(b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.3: The Chain Rule
Problem 52E: Margy and Nate are working on taking the derivative of fx=23x+14. Margy uses the quotient rule and...
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solve 2b
1. Determine if if r< 2,r +1 g(x) I if r> 2 is differentiable at a = 2. 2. (a) Using the definition of derivative, compute for the slope of the line tangent to f(x) = 2-4r+5 at z 1. (b) Determine the equation of the line normal to f(r) = r – 4r + 5 at x = 1. Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r + 1)(3r+ 1)1 (2² + 1)³ Tip dz y? + 25y + 25 = Solve for (b) What is the slope of the line tangent to the curve given by the equation in item 3a at the point (0,0)?
Transcribed Image Text:1. Determine if if r< 2,r +1 g(x) I if r> 2 is differentiable at a = 2. 2. (a) Using the definition of derivative, compute for the slope of the line tangent to f(x) = 2-4r+5 at z 1. (b) Determine the equation of the line normal to f(r) = r – 4r + 5 at x = 1. Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r + 1)(3r+ 1)1 (2² + 1)³ Tip dz y? + 25y + 25 = Solve for (b) What is the slope of the line tangent to the curve given by the equation in item 3a at the point (0,0)?
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