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Differentiate y=(4x - 5)^5 by using the chain rule.

Notation: I use the ^ in the title question to indicated 'to the power of' and I use an asterisk * (or star) to indicate 'multiplied by' in the answer, to avoid confusion with the x term! Step 1) let u = 4x ...
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Answered by Joseph E. Maths tutor
13600 Views

Find the derivative of x^x

y = x^x -- Yikes! Doesn't that look ugly. It's mostly the x^x part, since ... to the x is fine, and x to the ... is fine. We must split the two x's in order to continue. Perhaps we could log? since then we c...
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Answered by Mayur D. Maths tutor
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What is a logarithm?

In simple terms a log is asking what power do I need to raise the base to to get that answer.For example log 2 32.In this case the "base" is 2.So what power do you have to raise 2 to, to get 32?The...
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Answered by Janhvi S. Maths tutor
5408 Views

How does finding the gradient of a line and the area under a graph relate to real world problems?

Practical applications of calculus occur more often than you would think. The most common example of them being applied to real world problems is through the relationship between distance and time. The dista...
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Answered by Peter W. Maths tutor
7580 Views

Find the values of x that satisfy the following inequality 3x – 7 > 3 – x

Recall: We treat inequality in a similar manner to the equal sign. The steps are: 1. Collect like terms 2. Simplify 3x – 7 > 3 – x step 1 : 3x + x > 3+7 step 2: 4x > 10 4x/4 > 10/4 x > 2.5
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Answered by Yusuf S. Maths tutor
15575 Views