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Differentiate y=x^3ln2x

PRODUCT RULETherefore dy/dx=(x^3)(1/2x)(2)+(ln2x)(3x^2)=x^2+3x^2ln2x

HA
Answered by Hannah A. Maths tutor
4749 Views

What method should I use to differentiate equations with an x as the power of a number. E.g. 2^x

Take the log of both sidesln(y) = ln(2^x)This can be re-written as:ln(y) = ln(2)*xTake the exponent of both sidese^ln(y) = e^(ln(2)*x)Which gives:y = e^(ln(2)*x)Since ln(2) is a constant, apply the usual ...

BT
Answered by Billy T. Maths tutor
3065 Views

Explain why the structure of benzene cannot be acurately described using Kekule's structure (cyclohexa-1,3,5-triene).

During analysis of benzene we see that the bond lengths and angles are all the same. In the theoretical molecule however, due to the differing lengths of bonds between double and single bonds, the bond le...

WT
Answered by William T. Chemistry tutor
3200 Views

To what extent did Hitler’s consolidation of power after March 1933 depend on terror?

After March 1933, Hitler was able to consolidate his power through his terror regime. However, there are other factors that had a key role to play in Hitler’s ability to consolidate his power such as prop...

NM
Answered by Naomi M. History tutor
8196 Views

What is the difference between necessary and synthetic truths?

The distinction between necessary and synthetic statements is an ontological distinction. We can discern between statements which would hold in all possible worlds, and ones which could be rendered false ...

JC
Answered by Joe C. Philosophy tutor
3002 Views

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