Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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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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2.
a) Evaluate the following:
-1
x-1(x+1)'
xả-5x-20
x-5 x²-4x-5'
x-5
i. lim
ii. lim
iii. lim-
x-5x²-10x+25
√x²+4-2
x²
5h+4-2
iv. lim
x-0
V. lim-
h→0 h
b) Find the derivative of the following functions:
i. f(x) = -secx +
1
- secx
ii. f(x) = x-5 tan 4x +
sin 4x
x
iii. f(x) = ln(x-¹) [sinx + √x² + 1].
iv. f(t) = 3t² cost - t³ sin √t,
e2x In(x²-3x+8)
v. f(x) =
(x+1)²
Transcribed Image Text:2. a) Evaluate the following: -1 x-1(x+1)' xả-5x-20 x-5 x²-4x-5' x-5 i. lim ii. lim iii. lim- x-5x²-10x+25 √x²+4-2 x² 5h+4-2 iv. lim x-0 V. lim- h→0 h b) Find the derivative of the following functions: i. f(x) = -secx + 1 - secx ii. f(x) = x-5 tan 4x + sin 4x x iii. f(x) = ln(x-¹) [sinx + √x² + 1]. iv. f(t) = 3t² cost - t³ sin √t, e2x In(x²-3x+8) v. f(x) = (x+1)²
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