Explain Product Law , Quotient law and Power law ?
Answers
Answer:
Step-by-step explanation:
The Product Rule in Words
The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first function.
The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.
In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another.
Answer:
Product Rule of Exponents : a^m *a^n = a^m + n
When multiplying exponential expressions that have the same base, add the exponents.
for eg: x^3 · x^2 = x^3 + 2 = x^5
Quotient Rule of Exponents \frac{a^m}{a^n} = a^{m-n}
When dividing exponential expressions that have the same base, subtract the exponents.
Example: \frac{x^6}{x^3} = x^{6-3} = x^3
Power Rule of Exponents (a^m)^n = a^mn
When raising an exponential expression to a new power, multiply the exponents.