Determine whether each of the following statements is true or

Miguel Reynolds

Miguel Reynolds

Answered question

2022-01-16

Choose one of the following statements, and then explain why it is true or false: A sum's derivative is the total of its derivatives.

Answer & Explanation

kalupunangh

kalupunangh

Beginner2022-01-17Added 29 answers

Step 1 
Let f(x) and g(x) be two functions of x. 
Their sum is: 
= f(x) + g(x) 
Step 2 
Then we get, 
(d/dx)[f(x) + g(x)] = (d/dx)[f(x)] + (d/dx)[g(x)] 
Therefore, we can state that a sum's derivative is the sum of its derivatives.
Hence the given statement is True.

Kirsten Davis

Kirsten Davis

Beginner2022-01-19Added 27 answers

Let f(x) and g(x) be two functions. 
The derivative of the sum of f(x) and g(x) is given by 
d dx (f(x)+g(x))=d dx f(x)+d dx g(x)
As a result, it is true to say that a sum's derivative is the sum of its derivatives.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-30Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-30Added 2605 answers

Answer is given below (on video)

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