1.The slope of the tangent line for the function f (x) = Inx at x = 1 is:(A) –1(B) 1(C) 0(D) None of these2.Let f (x) = |x|. Then at x = 0, the functionf (x) is:(A) Continuous and differentiable(B) Continuous but not differentiable(C) Differentiable but not continuous(D) Not continuous and not differentiable3.Let f (x) be a function such that f(n) (x) is constant function. Then f (x) is:(A) Root function (B) Rational function (C) Constant function (D) Polynomial function4.Let y = e-, then y" is:1(A) –je(B) —4е ;(С) 4е ;(D) None of these--e-25.What is the lim3.x:?x0 sin 5x(A) 0(B)5(C)(D) Does not exist

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Answered: 1. The slope of the tangent line for…

Math

Calculus

1. The slope of the tangent line for the function f (x) = In x at x = 1 is: (A) (B) 1 (C) 0 (D) None of these - 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

1.
The slope of the tangent line for the function f (x) = Inx at x = 1 is:
(A) –1
(B) 1
(C) 0
(D) None of these
2.
Let f (x) = |x|. Then at x = 0, the functionf (x) is:
(A) Continuous and differentiable
(B) Continuous but not differentiable
(C) Differentiable but not continuous
(D) Not continuous and not differentiable
3.
Let f (x) be a function such that f(n) (x) is constant function. Then f (x) is:
(A) Root function (B) Rational function (C) Constant function (D) Polynomial function
4.
Let y = e-, then y" is:
1
(A) –je
(B) —4е ;
(С) 4е ;
(D) None of these
--e-2
5.
What is the lim
3.x
:?
x0 sin 5x
(A) 0
(B)
5
(C)
(D) Does not exist

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