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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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Daniel F.

Degree: Maths and Philosophy (Bachelors) - Durham University

Subjects offered: Maths, Further Mathematics

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Kyle R.

Degree: Mathematics (Masters) - Oxford, Corpus Christi College University

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“I am a Maths student at the University of Bristol and hope to share my love of maths with you. I believe that Maths is learnt in 3 steps:    1) I will explain and we will discuss the main principles of what we are working on, assis...”

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James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

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“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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