Consider the curve y = x² + 3x + 4. (a) Find the slope of the secant line to the curve through the points where x = 9 and x = 9 + h. (b) Use your answer from part (a) to find the slope of the tangent line at the point where x = 9. (c) Find the equation of the tangent line at the point where x = 9.

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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Consider the curve y = x² + 3x + 4.
(a) Find the slope of the secant line to the curve through the points where x = 9 and x = 9 + h.
(b) Use your answer from part (a) to find the slope of the tangent line at the point where x = 9.
(c) Find the equation of the tangent line at the point where x = 9.
Transcribed Image Text:Consider the curve y = x² + 3x + 4. (a) Find the slope of the secant line to the curve through the points where x = 9 and x = 9 + h. (b) Use your answer from part (a) to find the slope of the tangent line at the point where x = 9. (c) Find the equation of the tangent line at the point where x = 9.
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