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  • John Rhodes
  • July 30, 2023
  • Calculus

The Derivative Sum Rule | Simplifying the Process of Finding Derivatives

derivative sum rule, h(x)= f(x) + g(x) The derivative sum rule states that if you have two functions, let’s call them f(x) and g(x), and you want...
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  • John Rhodes
  • July 30, 2023
  • Calculus

The Chain Rule | Calculating the Derivative of sin(x) using the Chain Rule of Differentiation

derivative of sin(x) The derivative of sin(x) is calculated using the chain rule of differentiation The derivative of sin(x) is calculated using the chain rule of differentiation....
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  • John Rhodes
  • July 30, 2023
  • Calculus

The Derivative of the Cosine Function | How to Find and Simplify cos'(x)

derivative of cos(x) The derivative of the cosine function, cos(x), can be found using the basic trigonometric identities and rules of differentiation The derivative of the cosine...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Derivative of Tangent Function | Finding the Derivative of \(\tan(x)\) Using the Quotient Rule

derivative of tan(x) The derivative of the tangent function, \(\tan(x)\), can be found using the quotient rule The derivative of the tangent function, \(\tan(x)\), can be found...
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  • John Rhodes
  • July 30, 2023
  • Calculus

How to Find the Derivative of the Natural Logarithm Function Using the Chain Rule.

derivative of natural logs, f(x)= ln(x^3) To find the derivative of the natural logarithm function, f(x) = ln(x^3), we can apply the chain rule To find the...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding the Chain Rule | Finding the Derivative of e^x Using the Chain Rule

derivative of natural exponents, f(x)= e^x To find the derivative of the function f(x) = e^x, where e is the base of the natural logarithm, you can...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding Exponential Growth | Evaluating a Function with a Given Value

f(x) = 2(3)^x Sure, I can help you with that Sure, I can help you with that. Let’s break down the given function: f(x) = 2(3)^x In...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding Exponential Growth in the Mathematical Function f(x) = 0.5 * (4)^x

f(x) = 0.5(4)^x Sure, I’d be happy to help! The equation you provided, f(x) = 0 Sure, I’d be happy to help! The equation you provided, f(x)...
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