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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding the Derivative | Calculating Instantaneous Rate of Change at a Point (a)

Derivative at a point (a) The derivative of a function at a point (a) represents the rate at which the function is changing at that particular point...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Mastering Differentiation | Understanding the Fundamental Calculus Concept of Derivatives and Their Applications

Derivative of a function f(x) The derivative of a function f(x) is a fundamental concept in calculus that measures the rate of change of the function with...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding Differentiable Functions | Exploring the Importance and Properties of Differentiability in Mathematics

Differentiable Differentiable refers to a property of a mathematical function Differentiable refers to a property of a mathematical function. A function is said to be differentiable if...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding Higher Order Derivatives | Exploring Velocity, Acceleration, and Jerk in Calculus

Higher order derivatives. If f(t) is the position of an object at a given time, what is f'(t), f”(t), f”'(t)? In calculus, higher order derivatives refer to...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding the Chain Rule | Finding the Derivative of sin(x)

d/dx sin x To find the derivative of the function f(x) = sin(x), we will use the differentiation rules To find the derivative of the function f(x)...
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  • John Rhodes
  • July 31, 2023
  • Calculus

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

d/dx tan x To find the derivative of the tangent function (tan x), we can use the quotient rule To find the derivative of the tangent function...
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  • John Rhodes
  • July 31, 2023
  • Calculus

How to Find the Derivative of the Cosine Function | Understanding and Using the Chain Rule.

d/dx cos x To find the derivative of the function f(x) = cos(x), we can use the chain rule and the derivative of the cosine function To...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Derivative of cot(x) with respect to x | -1 / sin^2(x)

d/dx cot x To find the derivative of cot(x) with respect to x, we can use the quotient rule To find the derivative of cot(x) with respect...
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