Dan DeBra) once said, roughly, âall instruments are first and foremost thermometers, but sometimes they measure something else as wellâ. He was talking about temperature compensating strain gauges, but he was also in charge of an ultra-precision machining laboratory â the one that built the gyros for Gravity Probe B.
In mathematics, a quotient is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient further is expressed as the number of times the divisor divides into the dividend, e.g. 3 divides 2 times into 6. A quotient can also mean just the integer part of the result of dividing two integers. For example, the quotient of 13 and 5 would be 2 while the remainder would be 3.
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).