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  • John Rhodes
  • July 29, 2023
  • Calculus

Discovering the Relationship Between Variables | Exploring Implicit Functions and Implicit Differentiation

Implicit functions Implicit functions refer to mathematical equations that establish a relationship between variables without explicitly solving for one variable in terms of the others Implicit functions...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding Explicit Functions | Definition and Examples in Mathematics

Explicit functions Explicit functions, in mathematics, are functions that can be expressed in an explicit or direct form, where the input is directly related to the output...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding ln (x/y) and its Evaluation | The Quotient’s Natural Logarithm Explained

ln (x/y) The expression ln (x/y) represents the natural logarithm of the quotient of x and y The expression ln (x/y) represents the natural logarithm of the...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding ln(xy) | Exploring Natural Logarithm of Product and its Properties

ln(xy) The expression ln(xy) represents the natural logarithm of the product of x and y The expression ln(xy) represents the natural logarithm of the product of x...
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  • John Rhodes
  • July 29, 2023
  • Calculus

How to Compute the Derivative of log a(u) using the Chain Rule

d/dx log a(u) To compute the derivative of log a(u) with respect to x, we can use the chain rule To compute the derivative of log a(u)...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Exploring the Chain Rule to Find the Derivative of logₐ(x)

d/dx log a(x) To differentiate the logarithm function with respect to x, specifically log base a of x (logₐ(x)), we can use the chain rule To differentiate...
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  • John Rhodes
  • July 29, 2023
  • Calculus

How to Differentiate ln(u) with Respect to x Using the Chain Rule

d/dx ln(u) To differentiate ln(u) with respect to x, we use the chain rule To differentiate ln(u) with respect to x, we use the chain rule. The...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Derivative of ln(x) | Calculation and Explanation of the Natural Logarithm Function’s Rate of Change

d/dx ln(x) To find the derivative of the natural logarithm function ln(x), we can use the derivative rules for logarithmic functions To find the derivative of the...
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