Proof – The Derivative of f(x)=ln(x): d/dx[ln(x)]=1/x (Implicit Diff)

This video proves the derivative of f(x)=ln(x) equals 1/x using the definition of a log and implicit differentiation.

Proof – The Derivative of f(x)=log_a(x): d/dx[log_a(x)]=1/((ln a)x)

This video proves the derivative of f(x)=log_a(x) using the change of base formula.

Proof – The Derivative of f(x)=a^x: d/dx[a^x]=(ln a)a^x (Definition)

This video proves the derivative of f(x)=a^x  using the the definition of an exponential function.

Proof – The Derivative of f(x)=a^x: d/dx[a^x]=(ln a)a^x (Using Logs)

This video proves the derivative of f(x)=a^x  using the the logarithms and the change of base formula.

Prove the Limit as x Approaches 0 of (e^x-1)/x

This video explains how to prove the limit as x approaches 0 of (e^x-1)/x  equals 1 using the Squeeze Theorem.

Proof – The Derivative of f(x) = e^x: d/dx[e^x]=e^x (Limit Definition)

This video proves the derivative of the f(x) = e^x using the limit definition.

Proof – The Derivative of f(x) = e^x: d/dx[e^x]=e^x (Implicit Differentiation)

This video proves the derivative of the f(x) = e^x using implicit differentiation.

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