47 Answered Questions for the topic Implicit Differentiation

Implicit Differentiation Math Calculus Differentiation

10/23/16

find dz/dt of z^2=x^2+y^2 with z>0

dx/dt=2,dx/dt=2, and dy/dt=6,dy/dt=6, find dz/dtdz/dt when x=6x=6 and y=8.   z^2=x^2+y^2 z=(x^2+y^2)^(1/2) dz/dt= ..I'm stuck at this point how do I differentiate it with the square root?
Implicit Differentiation Math Natural Logs

10/23/16

implicitly differentiate y=e^(-mx)

I don't get how to do this and I'm not sure how to use the ln    y' = 
Implicit Differentiation

10/18/16

Runner and his friends (Implicit Differentiation)

A runner sprints around a circular track of radius 100m at a constant speed of 7m/s.The runner's friend is standing at a distance 200m from the center of track.How fast is the distance between the... more
Implicit Differentiation Calculus Differentiation

06/26/16

use implicit differentiation to find y'

x+2y=sqrt(y)
Implicit Differentiation

05/28/16

Implicit differentiation

Hi,   this one has me got me confused.   find dy/dx at the point (0, -1), if y7=(x2-1)3+4extan-1y+pi   Any help would be greatly appreciated.   Cheers   Michael
Implicit Differentiation Calculus Differential Equations Limits

04/22/16

PROFIT FUNCTION IN CALC

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more
Implicit Differentiation Calculus Algebra Factoring

04/22/16

Simplifying a function to get a tangent line

In the middle of solving this implicit function/using implicit differentation to find its tangent line, this is what I have so far:   Original function: y^3+x^3-2xy=8 (find tangent line at... more
Implicit Differentiation

11/11/15

tan^3 (xy^2 + y)=x

 find dy/dx
Implicit Differentiation

11/11/15

tan^3 (xy^2 + y) = x

use implicit differentiation
Implicit Differentiation Math Calculus

10/19/15

Find dy/dx by implicit differentiation : e^(x/y) = x - y

Find dy/dx by implicit differentiation : e^(x/y) = x - y
Implicit Differentiation

05/05/15

Tan^-1 (x^2y)=x+xy^2

Need to use implicit differentiation.
Implicit Differentiation Calculus

02/22/15

Could someone guide me in the right direction of solving this problem? The problem is: tan^-1(4x^2y)=x+2xy^2

I'm having trouble solving this problem.
Implicit Differentiation Calculus Trig Functions

10/22/14

find dy/dx for cos(x^2y^2)/sin(x^2y^2)=2x

The original equation is: cos(x^2y^2)/sin(x^2y^2)=2x   I simplified it to cot(x^2y^2)=2   I used chain rule to get -csc^2u * du/dx and found du/dx= (2x^2yy'+2y^2x) new equation:... more
Implicit Differentiation Differentiation Differentiate Y'

10/05/14

Differentiation - Show steps!

Suppose y is defind implicitly as a function of x by the following equations, where g is a given differentiable function of one variable. Find an expression for y'.   a. xy=g(x)+y3 Ans: y' =... more
Implicit Differentiation

10/04/14

Find the equation of the tangent line to the ellipse at the given point

(x2/a2) + (y2/b2)=1   Point (m,n)     Answer should be in terms of x,y,m,n,a,b and answer is _______=1
Implicit Differentiation

03/09/14

At what point is the tangent line to the curve y^3=2x^2.....

At what point is the tangent line to the curve y^3=2x^2 perpendicular to the line x-2y-10=0 ? (x,y) format
Implicit Differentiation

03/09/14

Find by implicit differentiation.

Find d^2y/dx^2 x^6y^2-4=0
Implicit Differentiation

11/07/13

Given y(2x^3-7)^4

Differentiate by using chain rule y=(2×^3-7)^4
Implicit Differentiation Calculus

10/09/13

Find an equation of the tangent line to the curve (x^2)(e^y)+(ye^x)=4 at the point (2,0).

I think you're supposed to use implicit differentiation, and then solve for the equation after finding the slope.
Implicit Differentiation Calculus Differential Equations Maths

04/29/13

calculus question......

the position function s of a point is given by two dimensional quantities  where t in seconds and the y direction is affected by gravity (10m/s/s). y(t)=4t*sin(θ) - 5t2       &      ... more
Implicit Differentiation Calculus

01/17/13

Find the point besides the origin where the graph of xy=x+y^2 has a vertical tangent

It's Calculus. Implicit differentiation is used. 
Implicit Differentiation Calculus Graph Vertical Tangent Line

11/25/12

Find the points where the following graph has a vertical tangent line

Find the points where the following graph has a vertical tangent line. 4x2 + y2 -8x + 4y + 4=0

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