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A curve has the equation 6x^(3/2) + 5y^2 = 2 (a) By differentiating implicitly, find dy/dx in terms of x and y. (b) Hence, find the gradient of the curve at the point (4, 3).

(a) To differentiate implicitly, differentiate x’s as normal and differentiate y’s with respect to y before multiplying by dy/dx. Therefore the differentiating the curve gives
9x^(1/2) + 10y*(dy/dx) ...

ML
Answered by Matthew L. Maths tutor
3677 Views

What is the conditional tense?

The conditional tense is used to say what might happen under certain conditions. It is called the conditional tense because it is dependent on a certain condition- the event can only take...

RM
Answered by Roisin M. German tutor
1673 Views

How should I answer a question on christian attitudes to homosexuality ?

When answering a GCSE question that is more than 3 marks, it is helpful to give more than one opinion. There are many different Christian denominations that will have varying perspectives on this. For exa...

SJ
2015 Views

How can the transmission of salmonella be reduced?

Washing hands (vomiting, diarrhoea) Isolation Not sharing utensils or cutlery

SA
Answered by Sophie A. Biology tutor
2474 Views

Compare the mammalian heart to that of an amphibian. Use a diagram.

Four mark question Can use drawn example to show the comparison of a three chambered heart to that of a four chambered heart.(2)Name the different parts of the heart. Mammalian is two atria, two ventricle...

SA
Answered by Sophie A. Biology tutor
3607 Views

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