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Definition of Quotient. When one number (dividend) is divided by another number (divisor), the result obtained is known as Quotient. The quotient can be expressed as the number of times the divisor divides the dividend. Here, when 35 Ã· 7, the quotient would be 5, while 35 would be called the dividend, and 7, the divisor.
To demonstrate, we would use the quotient rule if we had a fraction in our function with variables in both the numerator and denominator of the fraction. For example, if. To find f'(x), we would need to use the quotient rule.Quotient Rule: =. so we write as g(x)/h(x), where g(x) = 3x 2 + 4x - 5, and h(x) = e x + x 2. Then we know that g'(x) = 6x + 4, and h'(x) = e x + 2x. Then. The gut impulse for many students is to use the quotient rule whenever there is a fraction in our expression.n order to differentiate this, we need the product rule. The product rule allows us to differentiate a function when the function is a product of two distinct parts. In this example, we have the polynomial 3x 2 + 4x - 5 and the transcendental function sin(x).