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This rule simply tells us that the derivative of the sum/difference of functions is the sum/difference of the derivatives. Consider the following graphs and ...

How to perform differentiation of sum and difference. #gakpofredyaw #onlinemathematics #onlinemathstutor #onlinemathstutor #calculus #calculusandmathematicsl...

There are differentiation laws that allow us to calculate the derivatives of sums and differences of functions. Strangely enough, they're called the Sum Rule and the Difference Rule . So what do the product and difference rules say? The derivative of f ( x) + g ( x) is f ′ ( x) + g ′ ( x). The derivative of f ( x) − g ( x) is f ′ ( x) − g ′ ( x).

Simplify the numerator by finding the required derivatives. Using the sum and difference rule,ddx 3x – 1=3 andddx 2x + 3=2: h’ (x)= $\frac{(6x + 9) – (6x – 2)}{9x^2-6x+1}$ Simplify the denominator. h’ (x)= $\frac{11}{9x^2-6x+1}$ Simplify further the numerator by combining like terms.

Differentiation of Sums and Differences. Here are the differentiation rules for the sum and difference of two functions: If @$\begin{align*}f\ ...

When calculating the derivative of a sum, we simply take the sum of the derivatives. This is illustrated in the following formula. ... The first function that ...

Apply the sum and difference rules to combine derivatives. Use the product rule for finding the derivative of a product of functions. Use the quotient rule ...

Derivative of A Sum

The Sum and Difference Rules

Simply put, the derivative of a sum (or difference) is equal to the sum (or difference) of the derivatives. More precisely, suppose f and g are ...

Example 1

In words, these rules state that the derivative of one function added to another is the derivative of the first plus the derivative of the second and the ...