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Use the chain rule to differentiate y=(x-3)^(-3)

Hint: the chain rule states that for y=u(x) ^a, the derivative will be dy/dx = dy/du * du/dxSo we just need to find dy/du and du/dx!In this case u(x)=x-3, so du/dx = 1.from y=u^(-3), dy/du = -3u^(-4).This me...
RT
Answered by Rosemary T. • Maths tutor
5779 Views

Solve the inequality x < 4 - |2x + 1|.

In order to deal with the modulus sign, we must take account of 2 possible cases: Case 1: |2x + 1| = (2x +1). In this case we can solve algebraicly, preserving the inequality sign, to get that x &lt; 4 -(2x ...
JC
Answered by Joe C. • Maths tutor
8579 Views

Find the exact value of the gradient of the curve y = e^(2- x)ln(3x- 2). at the point on the curve where x = 2.

To solve this problem, we must first differentiate: Identify that we are able to use the product rule as our expression is of the form y = f(x)g(x) where f(x) = e^(2- x) and g(x) = ln(3x- 2). Hence f'(x) = -...
JC
Answered by Joe C. • Maths tutor
10642 Views

How should I structure my essays?

With History there is so much content and so much to say that it can be hard to work out what to include and what to cut out. Whether you have a word count or a time limit, it is important that your essay is...
EF
Answered by Elizabeth F. • History tutor
2520 Views

How do I revise for English?

Firstly, I would suggest re-reading the books/plays/poems that you are required to know. If it is a closed book exam then it is important that you know these texts inside and out. Focus on important themes w...
EF
Answered by Elizabeth F. • English tutor
1975 Views