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) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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