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How do you differentiate X to the power of a?

To differentiate Xa, where a is any real number, you multiply X by a, and subtract 1 from the power.

i.e. d(Xa)/dX=aXa-1

James B. A Level Maths tutor, GCSE Maths tutor

1 year ago

Answered by James, an A Level Maths tutor with MyTutor


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Will W.

Degree: Mathematics (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 2 more

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“About Me: I am a Maths and Physics student at Durham University, who has always enjoyed understanding complex concepts in these subjects. I also have a passion for sharing this enjoyment. At my previous school, I ran a Maths Club. Thi...”

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Degree: Medicine (Other) - Liverpool University

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Thomas D.

Degree: Economics (Bachelors) - Bristol University

Subjects offered: Maths, Geography+ 2 more

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James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“About MeI'm a second year student at Exeter University. I've been passionate about maths from a young age and have carried that love through my school and uni career. I hope that I can generate the same passion for my tutees as well....”

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