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Find (dy/dx) of x^3 - x + y^3 = 6 + 2y^2 in terms of x and y

In order to differentiate this expression, we need to use implicit differentiation. An expression in the form y = f(x), where f(x) means "a function of x", is called an explicit equation and needs ...
Answered by • Maths tutor
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Why do you weigh less on the Moon than on Earth?

Weight is the product of an object's mass and the dominant gravitational field that it feels. On Earth, objects feel a gravitational acceleration which is dependent on the mass of the earth and its rotationa...
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Answered by Nicky M. • Physics tutor
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Why do we experience seasons? And why is this different between the different sides of the world?

The Earth is on a tilted axis, a full rotation takes 24 hours and this is our day length. As well as spinning on its axis, the Earth also orbits the Sun. This orbit takes 365 days to complete, but it's the t...
SW
Answered by Samuel W. • Physics tutor
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Explain the process of phagocytosis

The first stage of phagocytosis is named chemotaxis. This stage involves the migration of the phagocyte (a type of lymphocyte/ white blood cell) towards a pathogen. This occurs due to foreign antigens (non s...
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Answered by Grace L. • Biology tutor
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Prove, by induction, that 4^(n+1) + 5^(2n-1) is always divisible by 21

Firstly when proving something by induction, we always show that the base case works, i.e. we plug in n=1. In this case we get 4 2 + 5 1 =21, which is divisible by 21. Next we state what is called the induct...
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