# Using The Product Rule To Find The Derivative Of A Exponential Function Video

Using the product rule to find the derivative of a exponential function video involves derivatives, exponential functions, exponents, functions, product rule.

# Using The Product Rule To Find The Derivative Of A Exponential Function Video Tutorial

derivatives video, exponential functions video, exponents video, functions video, product rule video.

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# Using The Product Rule To Find The Derivative Of A Exponential Function

This math video tutorial gives a step by step explanation to a math problem on "Using The Product Rule To Find The Derivative Of A Exponential Function".

Using the product rule to find the derivative of a exponential function video involves derivatives, exponential functions, exponents, functions, product rule. The video tutorial is recommended for 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, and/or 12th Grade Math students studying Algebra, Calculus, Pre-Algebra, Pre-Calculus, and/or Advanced Algebra.

# Derivatives

In calculus, the derivative is a measurement of how a function changes when the values of its inputs change. Loosely speaking, a derivative can be thought of as how much a quantity is changing at some given point. For example, the derivative of the position or distance of a car at some point in time is the instantaneous velocity, or instantaneous speed (respectively), at which that car is traveling (conversely the integral of the velocity is the car's position).

A closely related notion is the differential of a function.

The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.

The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration.

# Exponents

Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication:

a1 = a
a2 = a × a
a3 = a × a × a
a4 = a × a × a × a

and so on.