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a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of 1 ;a = -1 X +3 5) f(x) =

a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of 1 ;a = -1 X +3 5) f(x) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of 1 -;a = -1 X +3 5) f(x): %3D 5) 1 A) a. f'(x) = tangent line is y =*+ 3 b. (x + 3)2" 1 B) a. f'(x) = 1 ; b. tangent line is y = - 1 (x + 3)2" 1. C) a. f'(x) = -- (x + 3)2 3 ; b. tangent line is y = --X+ 4 4 D) a. f'(x) = b. tangent line is y = - x- 2 Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. 6) u(2) = 9, u '(2) = 4, v(2) = -1, v '(2) = -4. 6) d (3v u) at x = 2 dx A) 6 В) -8 C) -12 D) -16 Type here to search 近
Transcribed Image Text:a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of 1 -;a = -1 X +3 5) f(x): %3D 5) 1 A) a. f'(x) = tangent line is y =*+ 3 b. (x + 3)2" 1 B) a. f'(x) = 1 ; b. tangent line is y = - 1 (x + 3)2" 1. C) a. f'(x) = -- (x + 3)2 3 ; b. tangent line is y = --X+ 4 4 D) a. f'(x) = b. tangent line is y = - x- 2 Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. 6) u(2) = 9, u '(2) = 4, v(2) = -1, v '(2) = -4. 6) d (3v u) at x = 2 dx A) 6 В) -8 C) -12 D) -16 Type here to search 近
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