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A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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- © 53 moodle.nct.edu.om a e-Services ▼ Academic Departments ETC - CIMS - Mohammed Salim Mattar S A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8." A2) Find the derivative of the following functions x2 +3 (a). f(x) x2 3 (b). f(x) = 2 tan (x) – 3" (c). f(x) = (x + 3 sin a) (1 – 6 cos a) tanx (d). g(x) 3 - secx A3) Find the equation of the line tangent to the graph of f(x) = 3x3 + 6x2 – 3x – 5 at x = -8. A4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 5t3 – 35t meters. I (a) Determine the velocity of the bird at t = 4 sec. (b) Determine the acceleration of the bird at t = 4 sec. (c) Determine the acceleration of the bird when the velocity equals 0. dy of the following functions. dx A5) Find (a) y = sec(3x²). (b)y = sin3x + cos6x [ (c) y = cot (v3 – x2) i
Transcribed Image Text:- © 53 moodle.nct.edu.om a e-Services ▼ Academic Departments ETC - CIMS - Mohammed Salim Mattar S A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8." A2) Find the derivative of the following functions x2 +3 (a). f(x) x2 3 (b). f(x) = 2 tan (x) – 3" (c). f(x) = (x + 3 sin a) (1 – 6 cos a) tanx (d). g(x) 3 - secx A3) Find the equation of the line tangent to the graph of f(x) = 3x3 + 6x2 – 3x – 5 at x = -8. A4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 5t3 – 35t meters. I (a) Determine the velocity of the bird at t = 4 sec. (b) Determine the acceleration of the bird at t = 4 sec. (c) Determine the acceleration of the bird when the velocity equals 0. dy of the following functions. dx A5) Find (a) y = sec(3x²). (b)y = sin3x + cos6x [ (c) y = cot (v3 – x2) i
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