Implicit Differentiation

Welcome to the Implicit Differentiation category on Questions LLC, a platform dedicated to answering all your inquiries about this fascinating topic in mathematics. Implicit differentiation is a powerful tool used to find derivatives of implicit functions, where the dependent and independent variables are not easily separable. Whether you are a student seeking clarification, a curious learner, or a professional looking to deepen your knowledge, this category is designed to provide comprehensive explanations and solutions to your implicit differentiation questions. So, dive in, explore, and unravel the complexities of implicit differentiation in a clear and concise manner.

Questions (181)

If ln(x^2-15y)=x-y+5 and y(-4) by implicit differentation =Thus the equation of the tangent line to the graph at point (-4,1) is
1. 4 answers
2. asked by Rileigh
3. 4,095 views
Consider a curve given implicitly by the equation (1+x)y^3 + (x^4)y - 85 = 0.A. Calculate dy/dx at a general point (x,y). B.
1. 4 answers
2. asked by Anonymous
3. 2,017 views
Findy'' by implicit differentiation. 3x3 + 4y3 = 1
1. 4 answers
2. asked by Anonymous
3. 6,694 views
Suppose f is a one-to-one, differentiable function and its inverse function f^−1 is also differentiable. One can show, using
1. 4 answers
2. asked by quarantine
3. 5,392 views
The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point?Please help. Thanks in
1. 5 answers
2. asked by Jen
3. 10,852 views
use implicit differentiation to find dz/dxgiven: x^2+zsin(xyz)=0
1. 4 answers
2. asked by anonymous
3. 956 views
Use implicit differentiation to find the points where the parabola defined byx^{2}-2xy+y^{2}-6x+2y+17 = 0 has horizontal and
1. 5 answers
2. asked by HELP!!!! PLEASE
3. 6,170 views
Find dy/dx by implicit differentiation1. x^3 -xy+ y^2= 7 The given answer is (y-3x^2)/ (2y-x), but I'm not getting it. 2. How
1. 3 answers
2. asked by Anonymous
3. 507 views
Please help !!!!!Find dy/dx by implicit differentiation. (sin πx + cos πy)4 = 65
1. 5 answers
2. asked by john
3. 1,550 views
Find dy/dx by implicit differentiation.x^5(x + y) = y^2(9x − y) this is what i've got so far but I don't think it is the right
1. 1 answer
2. asked by Tanya
3. 448 views
If √x+√y=10 and y(16)=36, find y'(16) by implicit differentiation.If somebody could please help me by explaining how to
1. 4 answers
2. asked by Ali
3. 7,366 views
Use implicit differentiation to show that a function defined implicitly by sin x +cos y = 2y has a critical point whenever cos x
1. 4 answers
2. asked by Anonymous
3. 924 views
Differentiate implicitly (a) x^3+y^3=27xy
1. 4 answers
2. asked by Clinton
3. 1,440 views
How do you find the coordinates of the stationary points to this implicit differentiation equation?x^2y = y^2 + 2x 2xy + x^2yy'
1. 2 answers
2. asked by James
3. 920 views
let y be the function of x defined implicitly by the equation x^2 -2xy +2y^4=1. find the value of x where y obtains its maximum
1. 3 answers
2. asked by barbra
3. 894 views
If 5x^2+5x+xy=2 and y(2)= -14 find y'(2) by implicit differentiation
1. 4 answers
2. asked by Peopsh8
3. 4,363 views
Finddy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2
1. 4 answers
2. asked by Anonymous
3. 8,529 views
If 4x2+3x+xy=2 and y(2)=–10 , find y'(2) by implicit differentiation.i keep getting the wrong answer for this problem evn when
1. 4 answers
2. asked by sara
3. 3,182 views
Consider the curve given by y^2 = 2+xy(a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line
1. 5 answers
2. asked by Mathew
3. 5,785 views
If 4x^(2)+5x+xy=4 and y(4)=-20, find y'(4) by implicit differentiation.I got y'=(-8x-5-y)/(x)
1. 4 answers
2. asked by Blair
3. 1,429 views
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.x2 + 2xy − y2 + x = 17,
1. 4 answers
2. asked by kela
3. 2,935 views
Use implicit differentiation to find an equation of the tangent line to the curve.sin(x+y)=4x−4y at the point (π,π). Tangent
1. 4 answers
2. asked by quarantine
3. 2,251 views
I just need the 3rd part!!!(2 points) Let y be defined implicitly by the equation ln(2y)=5xy. Use implicit differentiation to
1. 4 answers
2. asked by Krista
3. 409 views
Use implicit differentiation to find the derivative of the family of curvessin(xy)+x5+y5=c. dy/dx=? I got
1. 4 answers
2. asked by ang123
3. 2,135 views
a billboard 20ft tall is located on top of a building with its lower edge 60 ft above the level of a viewers eye.how far from a
1. 4 answers
2. asked by rachel
3. 1,894 views
If 3x^2+3x+xy=4 and y(4)=−14,find y'(4) by implicit differentiation.
1. 4 answers
2. asked by Ellie
3. 540 views
Find dy/dx by implicit differentiation.y^5 + x^2y^3 = 1 + x^4y So, first I find the derivative: 5y^4 + 2x3y^2 = 4x^3(1) Now I
1. 4 answers
2. asked by Chelsea
3. 1,436 views
A. find y' by implicit differentiation.B. solve th equation explicitly for y and differentiate to get y' in terms of x. cos (x)
1. 4 answers
2. asked by Sasha
3. 1,628 views
The demand x is the number of items that can be sold at a price of $p. Forx = p^3 - 4p + 400, find the rate of change of p with
1. 4 answers
2. asked by Cal
3. 2,652 views
Find dy/dx by implicit differentiation.sin x = x (1 + tan y)
1. 3 answers
2. asked by Brian
3. 586 views
Find dy/dx by implicit differentiation:x^2-2xy+y^3 = c Thank you!
1. 4 answers
2. asked by Linda
3. 1,763 views
Find dy/dx by implicit differentiation.arctan(2x^2y)=x+4xy^2
1. 3 answers
2. asked by christina
3. 1,880 views
Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+4xy=63 at the point (9,1)(9,1).
1. 3 answers
2. asked by gloria
3. 840 views
Use implicit differentiation to finddz/dy for yz = ln (x+z) I am unsure of how to deal with the right side specifically.
1. 4 answers
2. asked by Eve
3. 2,211 views
Find dy/dx by implicit differentiation and simplify the result1. x=sec(1/y) 2. 4xy+ln(x^2y)=7 Hello I sort of know how to do
1. 4 answers
2. asked by Dora
3. 917 views
Find dy/dx by implicit differentiation given thattan(4x+y)=4x
1. 5 answers
2. asked by cal
3. 1,248 views
if 2x^2+2x+ xy =2 and y(2)=-5 find y'(2) by implicit differentiation
1. 3 answers
2. asked by Anonymous
3. 593 views
Find dy/dx by implicit differentiation.x cos y + y cos x = 1
1. 2 answers
2. asked by Molly
3. 614 views
Find the derivative of the function y defined implicitly in terms of x.y = √(xy+ 9)
1. 3 answers
2. asked by Anonymous
3. 984 views
find y" by implicit differentiation.4x^3 + 3y^3 = 4 ===================================== 4x^3 + 3y^3 = 4 12x + 9yy' = 0 24x +
1. 2 answers
2. asked by Nurcan
3. 1,021 views
) Suppose that z=f(x,y)z=f(x,y) is defined implicitly by an equation of the form F(x,y,z)=0F(x,y,z)=0. Find formulas for the
1. 3 answers
2. asked by Usman
3. 1,924 views
i don't know which one is match. i tried those problem. i couldn't solve itFind y' by implicit differentiation. Match the
1. 3 answers
2. asked by LISA
3. 666 views
Use implicit differentiation to find the slope of the tangent line to the curve y/(x-2y) = y^3 +9 (1,10/21)ive done this problem
1. 3 answers
2. asked by SOMEONE PLEASE HELP
3. 440 views
Use implicit differentiation to find the second derivative y'' of the function given.x^2 + 5y^3 = 8
1. 3 answers
2. asked by John
3. 625 views
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.x^2/3 +y^2/3 =4
1. 3 answers
2. asked by TayB
3. 863 views
Find dy/dx for x2 + y2 = 2xy.2. If 5x2 + y4 = -9 then evaluate d^2y/dx^2 when x = 2 and y = 1. Round your answer to two decimal
1. 5 answers
2. asked by mock
3. 1,233 views
use implicit differentiation to find dy/dx if x^3+y^3=6xy
1. 3 answers
2. asked by Jeremy
3. 1,338 views
find y' if sin^-1(xy)=cosy
1. 3 answers
2. asked by angie
3. 1,692 views
Use implicit differentiation to showdy/dx = [(1-xy)cot(y)]/[x^2 cot(y) + xcsc^2(y)] if xy = ln(x cot y).
1. 3 answers
2. asked by Roy
3. 709 views
Use the process of implicit differentiation to finddy/dx given that x^3e^y-ye^x=0
1. 6 answers
2. asked by Anonymous
3. 784 views

Implicit Differentiation

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