Find dx/dt when y=2 and dy/dt=1, given that x^4=8y^5-240
dx/dt=

The value of is .

Step-by-step explanation:

The given equation is

We need to find the value of .

Differentiate with respect to t.

It is given that y=2 and dy/dt=1, substitute these values in the above equation.

Divide both sides by 4x³.

Therefore the value of is .

77

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4