please make sure its clear and easy to understand Consider the following.f(x) = tan(x), (-1)(a) Find an equation of the tangent line to the graph of f at the given point.y =(b) Use a graphing utility to graph the function and its tangent line at the point.y 2114Distaps Disfigh-4 -3 -214 31 2Aff-11Af1-1-

Answered: Image /qna-images/answer/f7ac313b-778e-437d-bd98-56d5277c0edb.jpg

Answered: Consider the following. f(x) = tan(x),…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent line to the graph of f(x)=x/x^2 -2 at point (2,1)
Let f(x) = 1/(x-5). Find the derivative f' of f. Find an equation of the tangent line to the curve at the point (-2, -2/6).
a. Find the function f given that the slope of the tangent line to the graph of f at any point (x,f(x)) is xe-2x and that the graph passes through the point (0,3). b. In keeping with the projected increase in worldwide demand for steam coal, the boilerfiring fuel used for generating electricity, the management of Consolidated Mining has decided to step up its mining operations. Plans call for increasing the yearly production of steam coal over its current level by: 2te-0.05t million metric tons/year for the next 20 years. The current yearly production is 20 million metric tons. Find a function that describes Consolidated’s total production of steam coal at the end of t years. How much coal will Consolidated have produced over the next 20 years if this plan is carried out?
4. Find an equation of the tangent line to the graph of f(x) = ln(x^2 + 4) at the point (2, ln(8))
1) Use the definition of a derivative to find f'(x) and f"(x), when f(x) = 2/x. I got f'(x) = -2/x2, but I am confused on how to get f"(x). 2) If a rock is thrown upward on Mars with a velocity of 15 m/s, its height in meters after t seconds is given by h=15t - 1.86t2. I need help starting this problem 3) lim (x--> inf) arctan(x2-x7) I need help starting the problem
1. Suppose f(x)= 2x/x+2(a) Use the definition of derivative to find the slope of the tangent line to the curve atx= 2.(b) Find an equation of the tangent line to the curve at x = 2
Find an equation of the tangent line to the graph of f at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results. f(x) = x − 1/x , (1, 0)
How to find the slope and equation of the tangent line to the graph of the function f at the specified point. f(x) = (x3 + 1)(x2 − 2) point (2, 18)
Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3 b) Which positions x does the graph of y=x^3+3x^2+x+3 have a horizontal tangent line?
Consider the following. f(x) = 3 x − x; (8, −6) (a) Find an equation of the tangent line to the graph of the function at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results.
with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of f at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. 2 1- 14 Lifeyes. Diffige 4 -3 -2 -1 1 -4 3 1 2 Vjf A -2 -1 1 1 -1- -1-