The quotient is obtained after the process of division is completed. This means when a divisor divides a dividend, the answer that we get is the quotient. In other words, the quotient can be found using the formula, Dividend ÷ Divisor = Quotient.

What is quotient rule example?

Give Examples. We can apply the quotient rule to find the differentiation of the function of the form u(x)/v(x). For example, for a function f(x) = sin x/x, we can find the derivative as, f'(x) = [x ddx d d x sin x – sin x ddx d d x x]/x2, f'(x) = (x•cos x – sin x)/x2.

What is the product and quotient rule?

Q ′ ( x ) = g ( x ) f ′ ( x ) − f ( x ) g ′ ( x ) g ( x ) 2 . Along with the constant multiple and sum rules, the product and quotient rules enable us to compute the derivative of any function that consists of sums, constant multiples, products, and quotients of basic functions.

What does the quotient rule state?

The quotient rule lets us divide exponents more easily. It states that the quotient of two exponent terms with the same base is the base raised to the difference of the exponents.

Why does quotient rule work?

The quotient rule, is a rule used to find the derivative of a function that can be written as the quotient of two functions. More simply, you can think of the quotient rule as applying to functions that are written out as fractions, where the numerator and the denominator are both themselves functions.

What is quotient rule of Exponent?

Quotient Rule of Exponents

When dividing exponential expressions that have the same base, subtract the exponents.