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Maths
A Level

differentiate 2^x

y=2^x
lny=xln2
y=e^(xln2)

MP
Answered by Mit P. Maths tutor
6307 Views

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

(The rate at which the temperature of a body falls is proportional to the difference between the body temperature and the room temperature) - this would be given in the question.

This is ...

AC
Answered by Asher C. Maths tutor
6196 Views

Why does ln(x) differentiate to 1/x ?

At first glance, this may seem quite complicated. However, it is simple once you make use of exponents. 
Let y=ln(x)
This can be written as: e= e

CE
Answered by Charlie E. Maths tutor
14629 Views

Differentiate ln(x)/x


Let R denote the region bounded by the curve y=x^3 and the lines x=0 and x=4. Find the volume generated when R is rotated 360 degrees about the x axis.

The area of a circle is given by (pi)r2 and the area generated by R can be considered as an infinite number of circular areas.

Thus, we can write the area gene...

SB
Answered by Stephen B. Maths tutor
5461 Views

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