Question: Let f(x) be a differentiable function with f(3)=4 and f'(3)=5. Find an equation of the line tangent to the graph of f at x=3.y=3(x-4)5 5-4(x-3)5y=4(x-5)3y-5tx413y=3(x-5)4y=5t-3t4

Let f(x) be a differentiable function with f(3)=4 and f'(3)=5. Find an equation of the line tangent to the graph of f at x=3.y=3(x-4)5 5-4(x-3)5y=4(x-5)3y-5tx413y=3(x-5)4y=5t-3t4

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Please solve the following questions 13. Let f be a twice differentiable function with f(1) =-1, f'(1) = 2, and f'(1) =0. Let g be a function whose derivative is given by g'(x) = x- [2f(x) + f'(x)]...

Calculus Writing Assignment: Tangent Line Approximation Each problem is worth 5 points. Total Points: 50 Answer each of the following questions. Make sure to show your work. 1) Find an equation to...

1) Find an equation to the line tangent to y = (x 3)2 at x = 0. 2) Suppose the graph of f (x) and the graph of its derivative f '(x) are shown below. Find an equation to the line tangent to y = f (x)...

\f6) Suppose f (x) is a differentiable function such that f (1) = 7 and f'(1) = 2. Use a tangent line approximation to estimate f (0.8).\fQ) The table below gives specific values for a differentiable...

Written Assignment 3 Answer all assigned exercises, and show all work. An asterisk indicates an exercise for which a graph pool is provided in Module Details. 1. For the points P and Q, find (a) the...

1. Find y if 8 vxy + 6x = 3y A. 4y +6,xy +4x 3 xy B. 3 xy - 4y 4x 4x - 3 xy 6 xy + 4y D. 4y +6 xy 3xy - 4x 2. Find y ' if 4 cos x sin y = 1. A. y ' = -4 sin x cos y B. y ' = tan x tan y sin x C. y' =...

Find an equation for the line tangent to the graph of at the point (a, f(a)) for a : 1. "a at) 5:ce The graphs of the function F (leftr in blue) and G (right, in red) are below. F :6 Let P(m) =...

Just the final result will be okay, I am matching your answers with mine so explanations are required. Thank you !! Section 2.4: Problem 1 (1 point) Previous Problem Problem List Next Problem Find...

Exercises: 1. Let A(x) = 0 f(t) at where f is the function whose graph is shown. a. Which is larger: A(1) or A(5)? Justify your answer. b. Which is larger: A(7) or A(10)? Justify your answer. C....

2. Rewrite as a sum or difference of multiples of logarithms. log - (x y z) log . (x y z) = 3. Differentiate the function. f(x) = = * - 1 + 11 f (x ) = 4. dy Find - ify = - - and u = 3 + 2t. uz + u...

What are the three major types of negotiated remedies and how do they differ?

An investment pays 13 payments. The first payment is $36 in the first year and increases 16% per year. If all payments are at the beginning of the year and the required return is 2% per quarter, what...

A taxpayer's half - sister is a related party for purposes of the 2 6 7

Wangshu puts $40000 in a savings account paying interest rate (2) = 8%. He withdraws the money after 34 months. How much money is in his account using a) the "Greedy Bank" method b) the "Practical"...