Find y' by implicit differentiation √(x+sec^2 y)=5

Find y' by implicit differentiation √(x+sec^2 y)=5

y=(xy)x Write an expression for dy/dx

Find dy/dx for e^(2x+3y) = x^2 -ln (xy^3)

Find dy/dx for a)e^cosx + e^siny = 1/4 b) e^2x+3y = x^2 -ln (xy^3) Find d^2/dx^2 for: x^3+y^3=8

Find the equation of the tangent line to the curve 3xy = x3+y3, at the point (2/3,4/3). HELP!?

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y^2(y^2 − 4) = x^2(x^2 − 5) at (0, −2)

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...

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

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...

If the point (-5,0) is on the edge of the shadow, how far above the x-axis is the lamp located i got the y' (slope) from differentiating the equation and get y'= -x/4y, but i cannot...

x+2y=sqrt(y)

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. &n...

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...

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...

find dy/dx

use implicit differentiation

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

Need to use implicit differentiation.

I'm having trouble solving this problem.

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...