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  • John Rhodes
  • July 25, 2023
  • Calculus

The Product Rule: How to Find the Derivative of the Multiplication of Two Functions

derivative of the multiplaction of two functions f(x)g'(x) + g(x)f'(x) To find the derivative of the multiplication of two functions, you can use the product rule. The...
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  • John Rhodes
  • July 25, 2023
  • Calculus

How to Find the Derivative of a Constant Times a Function Using the Product Rule

derivative of a constant times a function cf'(x) The derivative of a constant times a function can be found using the product rule of differentiation. Let’s say...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Derivative of the Summation of Two Functions: Applying the Sum Rule of Differentiation

derivative of the summation of two functions f'(x) + g'(x) The derivative of the summation of two functions can be found by taking the derivative of each...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Exploring the Behavior and Key Points of the Cubic Function y = x^3

y= x^3 cubic parent function The given equation is y = x^3, which represents a cubic function. In this equation, the variable x represents the input value,...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Exponential Functions: Exploring the Equation y = 2^x and its Applications

y= 2^x exponential parent function The equation y = 2^x represents an exponential function. In this equation, x is the exponent, and 2 is the base. To...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Quadratic Functions: Exploring the Equation y = x^2 and its Graph

y= x^2 Quadratic parent function (parabola) The equation y = x^2 represents a quadratic function. In this equation, x is the independent variable, and y is the...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Absolute Value Functions – How to Graph y = |x| and Interpret its Behavior

y= |x| absolute value parent function The equation y = |x| represents an absolute value function. An absolute value function is a piece-wise defined function where the...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding the Reciprocal Function: An In-Depth Analysis of the Equation y = 1/x and Its Key Features

y=1/x rational parent function The equation y = 1/x represents a reciprocal function. In this equation, x and y are variables. For every value of x, y...
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