47 Answered Questions for the topic Implicit 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?

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...
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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

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

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

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.

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:...
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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' =...
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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 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.

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 & ...
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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.

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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