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Differentiate with respect to x: y=xln(x)

Recall the product rule for differentiation. If y=uv, where u and v are functions defined by functions of x, then we can take the derivative of y as: y'=u'v+v'u () (where ' denotes the derivative) ...

GP
Answered by George P. Maths tutor
6936 Views

How does radiocarbon dating work?

The element carbon can exist as a few different "isotopes" - all this means is that the number of neutrons in the nucleus can vary to give atoms that behave the same way chemically so are still ...

JM
Answered by Joe M. Chemistry tutor
2996 Views

How should I structure my Critical Essay?

You should always begin your Critical Essay with an introduction. This should refer to the question in your own words and prepare the reader for the argument that you are going to make in the following pa...

QG
3840 Views

Show that the integral ∫(1-2 sin^2⁡x)/(1+2sinxcosx) dx = (1/2) ln2 between the limits π/4 and 0. [5 marks]

First, we use the trig identities: cos2x=cos^2x-sin^2x, cos^2x+sin^2x=1 and sin2x=2sinxcosx to transform the integral to ∫(cos2x)/(1+sin2x)dx.
We know that ∫f'(x)/f(x)dx = ln|f(x)|+c, so we let f(x)=...

AC
Answered by Abby C. Maths tutor
16305 Views

How do I use critics effectively?

Most people use critics to support an argument, showing that they have come up with valid points and have read widely around the subject.

However to push this further the key word for me is engage....

EK
Answered by Elizabeth K. English tutor
2805 Views

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