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Explain why for any constant a, if y = a^x then dy/dx = a^x(ln(a))

So let's start with taking the natural log on both sides of y=a x , giving us ln(y) = ln(a x ). Using the laws of logarithms we can write this as ln(y) = xln(a).Next, we differentiate both sides with respect...
JM
Answered by James M. • Maths tutor
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Can you explain the bond angle and shape of the molecule NH3?

In NH3, the nitrogen atom is bonded to three hydrogen atoms. By drawing the Lewis structure, the central nitrogen atom shows 3 covalent bonds to hydrogen and one lone pair. Valence Shell Electron Pair Repuls...
JJ
Answered by Jenny J. • Chemistry tutor
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How can I perceptively analyse within my essay?

Basic analysis, whilst providing the framework for a deeper investigation into your material, is less likely to be awarded highly by your examiner. Where basic analysis looks at the general themes and points...
EC
10870 Views

Why is the resting membrane potential of a neurone negative when there are positive ions inside the cell?

The resting membrane potential inside the neurone (-70mV) is negative relative the outside! This means that even though there are both Na + and K + ions inside the cell, there are fewer of them (-70mV fewer)...
CS
Answered by Chloe S. • Biology tutor
5384 Views

Find the general solution to the differential equation d^2x/dt^2 + 5 dx/dt + 6x = 4 e^-t

To solve a linear second order differential equation we first find the complementary function and then the particular integral. To find the complementary function we must find the roots of the auxiliary equa...
TM
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