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Derivative of sum of two functions is …… of the derivatives of the functions.
- a)Product
- b)Sum
- c)Division
- d)Difference
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Derivative of sum of two functions is …… of the derivati...
In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist. This is a part of the linearity of differentiation.
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Derivative of sum of two functions is …… of the derivati...
**Explanation:**
To find the derivative of the sum of two functions, we need to apply the derivative operator to each function separately and then add the two resulting derivatives together.
Let's consider two differentiable functions, f(x) and g(x), and their sum h(x) = f(x) + g(x).
To find the derivative of h(x), we apply the derivative operator to each term separately:
h'(x) = (f(x) + g(x))'
By applying the derivative operator to each term, we get:
h'(x) = f'(x) + g'(x)
So, the derivative of the sum of two functions is the sum of the derivatives of the individual functions.
This can be represented mathematically as:
(d/dx) (f(x) + g(x)) = (d/dx) f(x) + (d/dx) g(x)
Therefore, the correct answer is option **b) Sum**, as the derivative of the sum of two functions is the sum of the derivatives of the individual functions.
To find the derivative of the sum of two functions, we need to apply the derivative operator to each function separately and then add the two resulting derivatives together.
Let's consider two differentiable functions, f(x) and g(x), and their sum h(x) = f(x) + g(x).
To find the derivative of h(x), we apply the derivative operator to each term separately:
h'(x) = (f(x) + g(x))'
By applying the derivative operator to each term, we get:
h'(x) = f'(x) + g'(x)
So, the derivative of the sum of two functions is the sum of the derivatives of the individual functions.
This can be represented mathematically as:
(d/dx) (f(x) + g(x)) = (d/dx) f(x) + (d/dx) g(x)
Therefore, the correct answer is option **b) Sum**, as the derivative of the sum of two functions is the sum of the derivatives of the individual functions.
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Derivative of sum of two functions is …… of the derivatives of the functions.a)Productb)Sumc)Divisiond)DifferenceCorrect answer is option 'B'. Can you explain this answer?
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