Learn to Differentiate ln(x²) in 40 seconds

Want to learn how to differentiate ln(x²) quickly? This 40-second tutorial explains the process using only the chain rule. No complicated formulas or unnecessary steps. By the end, you'll be able to confidently tackle similar derivative problems.
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Finding the Derivative of ln(x³):
ln(x³) ⟹power rule for logs⟹3ln(x) ⟹ differentiate⟹d/dx(ln(x³)) = 3d/dx(ln(x)) = 3/x (answer)
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d/dx ln(x⁴)
= d/dx (4 ln(x)) bring 4 down
= 4 * d/dx ln(x) differentiate
= 4 * 1/x
=4/x answer
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The rules of logarithms have a long history dating back to the 16th century with John Napier's introduction of the concept of logarithms. In the 17th century, John Wallis further developed logarithmic differentiation. Logarithms were then used extensively in scientific and engineering fields in the 18th and 19th centuries. Today, logarithms are widely used in a variety of fields, including finance, physics, chemistry, and engineering, with the rules of logarithms playing a crucial role in simplifying and solving complex equations.

The history of logarithms demonstrates how mathematical concepts can evolve over time and remain relevant to modern-day applications. Logarithms were replaced by electronic calculators in the early 20th century but remain an important tool in mathematics and other fields. Overall, logarithms have proven to be a useful tool for handling large numbers and complicated equations and are a testament to the ongoing development and evolution of mathematical concepts.

[rushe]

Wow, You were very quick and to the point. Other channels would take at least 3 minutes just to explain this problem. Thank you for being so fast!

[nicholasvelasquez]

thanks bro, quick & to the point

[Redemption_Of_Mahim]

I differentiate this function in 2seconds lol