Derivative of 10 - 20/(t+1)^2 - process help

[939]

Homework Statement

Derivative of

10 - 20/(t+1)^2. It's hard to write but basically 10 is IN FRONT of the equation, it's NOT 10-20 together, over (t+1)^2. 10 is separate and is in front of the equation.

Homework Equations

10 - 20/(t+1)^2

The Attempt at a Solution

My main question is the process. Do you find the derivative of - 20/(t+1)^2, and then put 10 in front of the equation? Or do you multiply the derivative of it by 10?

 

[eumyang]

Homework Statement

Derivative of

10 - 20/(t+1)^2. It's hard to write but basically 10 is IN FRONT of the equation, it's NOT 10-20 together, over (t+1)^2. 10 is separate and is in front of the equation.

First, what you wrote is not an equation. It's an expression.
Do you mean this?
$$f(x) = 10 - \frac{20}{(t+1)^2}$$

My main question is the process. Do you find the derivative of - 20/(t+1)^2, and then put 10 in front of the equation? Or do you multiply the derivative of it by 10?

If you mean the above, then no. You find the derivative of 10, and then subtract the derivative of the fraction. The difference rule applies (derivative of f - g = f' - g').

EDIT: Or do you mean this?
$$f(x) = 10\frac{-20}{(t+1)^2}$$

 

[939]

First, what you wrote is not an equation. It's an expression.
Do you mean this?
$$f(x) = 10 - \frac{20}{(t+1)^2}$$

Thanks a lot for the help. And I meant this one.