1. This question concerns the function y = f(x) = 2 - 3x² near the point where x = 1. (a) What is f(1)? (b) Write in terms of h the slope of the secant line through the points (1, f(1)) and (1+h, ƒ(1+h)). Simplify. (Use algebra, but take no limits yet.) (c) Use your answer to (b) to find the slope of the tangent line to y = f(x) at x = 1.

1. This question concerns the function y = f(x) = 2 - 3x² near the point where x = 1. (a) What is f(1)? (b) Write in terms of h the slope of the secant line through the points (1, f(1)) and (1+h, ƒ(1+h)). Simplify. (Use algebra, but take no limits yet.) (c) Use your answer to (b) to find the slope of the tangent line to y = f(x) at x = 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.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 1YT: YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where...

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