Question: 1. Find dy by implicit differentiation for the following ( a) x - xy'+y's = 1 (b) sin(xy) = cos(x + y) 2. Use implicit

1. Find dy by implicit differentiation for the following ( a) x - xy'+y's = 1 (b) sin(xy) = cos(x + y) 2. Use implicit differentiation to find the slope of the curve 2 ( x + y ) 3 = y at the point (4, 4). 3. Find an equation of the tangent line to the curve 2 = - 202 + 2 V3xy + 32 at the point (0, -V2). 4. Find y" by implicit differentiation of the function x2 + 4y? = 4 (a) y = ? ( b) y" = ? (c) Simplify your solution for part (b) by using the original functi make a substitution in order to show that y"= 1 473

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!

Find dy/dx by implicit differentiation. 4x2 + 9xy - yz = 9 X : Enhanced Feedback Please try again using implicit differentiation with respect to x. Use the Chain Rule or the Product Rule when...

1. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy = 14, (-7, -2) dy dx At (-7, -2) : y' =Find dy/dx by implicit differentiation. Then find the slope...

4. [-/1 Points] DETAILS TANAPCALC MY NOTES ASK YOUR TEACHER PRA Find dy by implicit differentiation. dx 3x2 + 12 = 4 dy = dx Need Help? Read It Master It 5. [-/1 Points] DETAILS TANAPCAL Find dy by...

MTH130 Module 2 - Section Assignment 3.6 (Homework) 2. Find dy by implicit differentiation. dx = 5x + 4y 2 dy = dxFollow the steps below for the given function. x3 - 4x2 - xy = 9 Solve the equation...

Show how to do each problem (1 point) Suppose that (1 point) 12 f(x) = 4e-2x In(x). Find dy/dx by implicit differentiation. Find f' (3). sin x + cos y = sin x cos y f' (3) = dyldx = (1 point) For the...

please make sure to write each step and please make sure it is neat so that I can read it and follow it. Thank you! Find dy by implicit differentiation dx (6pts) 2x' +x'y- xy' + y' = 12 ). Find the...

Exercise 4.8.1 Find the derivative of the function. (b) f(x) = (tan-(2x)) 3 (d) f(t) = In(sin ' t) Exercise 4.8.2 Find d by implicit differentiation. (a) sin (xy) +xy = x (b) tan ' (x - y) = xy...

1. Find dx by implicit differentiation for the implicit function 6x+5y = 64y. dy 2. Use Logarithmic Differentiation to find for y= dx (x+8)*(3x-1)' (6-x)' (2x+7) dy 3. Find by implicit...

Find the slope of the tangent line to the curve defined by 6x' + 2xy + 5y = 672 at the point (8, -2). The slope of the curve at the point (8, -2) is If vat vy = 7 and y(36) = 1, find y'(36) by...

'I. Chains Inc. is in the business of making and selling chains. Let c(t)be the number of miles of chain produced after t hours of production. Let p(c) be the profit as a function of the number of...

The Kenai Company sold $600 worth of merchandise to a customer who used a National Bank credit card. National Bank deducts a 3% service charge for sales on your credit cards. Kenai electronically...

3. (2pts total) Globo Gym, Corp. is a fitness center that provides fitness and workout services for customers. Globo Gym pays a total of $120,000 in wages every two weeks to its employees (assume...

9. In the following instruction sequence, show the values of the Carry, Zero, and Sign flags where indicated: mov al,00001111b test al,00000010b ; a. CF= ZF= SF= mov al,00000110b cmp al,00000101b ;...

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.