posted by .

The differential of the function y=(x^2+6)^3 is
dy=______dx.
When x=2 and dx=0.05, the differential dy=_______?

A) dy=______dx?
B) the differential dy=_______?

dy/dx = 3(x^2 + 6)^2

dy = 3(x^2 + 6)^2 dx
when x = 2 and dx = .05

dy = ......

just plug in the above values.

## Similar Questions

1. ### calculus-differential equation

Consider the differential equation: (du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=?
2. ### calculus

is y = x^3 a solution to the differential equation xy'-3y=0?
3. ### CALCULUS

The differential of the function y=(x^2+9)^3 is dy=_________ dx. When x=3 and dx=005, the differential dy=_________
4. ### Math

The maximum number of arbitrary constants is equal to a. Number of derivatives in the differential equation b. Degree of differential equation c. Order of differential equation e. None of the above I don't understand this, but my guess …
5. ### Help with differential eqs problem???? (Calculus)

Consider the differential equation dy/dt=y-t a) Determine whether the following functions are solutions to the given differential equation. y(t) = t + 1 + 2e^t y(t) = t + 1 y(t) = t + 2 b) When you weigh bananas in a scale at the grocery …
6. ### Differential Equations

in this problem we consider an equation in differential form M dx+N dy=0 (2y-2xy^2)dx+(2x-2x^2y)dy=0 give implicit general solutions to the differential equation. F(x,y)=
7. ### ordinary differential equation

consider the differential equation d^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic equation of the differential equation is (m-3)^3 =0 (b) Hence, find the general solution of the equation.