Question

For the function

y = f(x),
the ratio
f(x + h) − f(x)
h, (h ≠ 0) is--Select- a derivative a relation a difference quotient an integral .
b) Select all that apply.

Answer 1

The ratio f(x + h) - f(x) divided by h is known as the difference quotient. It is used to approximate the derivative of a function at a certain point.

Step-by-step explanation:

Calculus is a branch of mathematics that focuses on the study of rates of change and processes of accumulation. It is divided into two main branches: differential calculus and integral calculus.

The ratio f(x + h) - f(x) divided by h is known as the difference quotient. It is used to approximate the derivative of a function at a certain point. The difference quotient measures the average rate of change of the function over a small interval as the interval gets infinitely small.