Quotient Rule

Front

What is the Quotient Rule in algebra?

Back

The Quotient Rule states that if you have a function that is the quotient of two other functions, the derivative of that function is given by: (f/g)' = (g*f' - f*g')/g².

Front

True or False: The Quotient Rule can be used to differentiate the function f(x) = (x^2 + 1)/(x - 3).

Back

True

Front

Simplify the expression using the Quotient Rule: (a^5)/(a^2).

Back

a^(5-2) = a^3.

Tags

CCSS.8.EE.A.1

Front

What is the first step in applying the Quotient Rule?

Back

Identify the numerator and denominator functions.

Front

True or False: The Quotient Rule can only be applied to polynomial functions.

Back

False.

Front

Evaluate using the Quotient Rule: (x^4)/(x^2).

Back

x^(4-2) = x^2.

Tags

CCSS.HSA.APR.A.1

Front

If f(x) = a^m and g(x) = a^n, what is the result of f(x)/g(x)?

Back

a^(m-n).

Tags

CCSS.HSF-IF.C.8B

Front

What is the result of (b^5)/(b^3) using the Quotient Rule?

Back

b^(5-3) = b^2.

Front

True or False: The Quotient Rule can be used for functions that are not polynomials.

Back

True.

Front

Simplify the expression: (c^7)/(c^4).

Back

c^(7-4) = c^3.