How to the derivative of this?

[zanaykurd]

1. How to take the derivative of this? i know how to derive this but i don't get what it means by when x=3
d/dx=((x-4)^3)) when x = 3


can you please work out a similar problem for me so i can follow the steps?


Thank you for your help, kind regards.

 

[gb7nash]

The derivative of a function f(x) is the "slope" function. You plug in a value, call it a, into the derivative and this will tell you the slope of f(x). For instance:

f(x) = x²
f'(x) = 2x

Let's say I want to find the slope of f(x) at x = 2, so we look at f'(2), so f'(2) = 2*2 = 4.

 

[zanaykurd]

thank you very much. i can do it now.

 

[Mark44]

1. How to take the derivative of this? i know how to derive this but i don't get what it means by when x=3
d/dx=((x-4)^3)) when x = 3

Your notation needs some work as well.
d/dx is the derivative operator. It's not a number. It makes about as much sense to write d/dx = (x - 4)³ as it does to write √ = 7. In this nonsense equation, a natural question would be, the square root of what equals 7.

In what you wrote, the question would be, the derivative of what equals (x - 4)³?

Also, in English we don't "derive" something when we take the derivative - we say that we "differentiate" a function to get its derivative. Must seem weird, but that's the common usage.

can you please work out a similar problem for me so i can follow the steps?


Thank you for your help, kind regards.