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Find the equation for the tangent to the curve y^3 + x^3 + 3x^2 + 2y + 8 = 0 at the point (2,1)

As the tangent has the same gradient as the curve at the particular point, we need to find the gradient of the curve. To find the gradient we need to differentiate. Due to there being two variables in thi...

Answered by Aphishek E. • Maths tutor

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How do I find the nature of a stationary point

Firstly, note that a stationary point can either be a local maximum, local minimum or point of inflexion. Now suppose you have a differentiable function (a graph which has a unique gradient/derivative at ...

Answered by Curtis C. • Maths tutor

5380 Views

With log base 4, solve log(2x+3) + log(2x+15) = 1 + log(14x+5)

How might one simplify this? It looks as though raising both sides to the power 4 is the way to go, but it is not immediately obvious how to do this. In order to get both sides into the form 'log of somet...

Answered by Sam J. • Maths tutor

3452 Views

What are the main factors when deciding whether or not the Poisson distribution is a suitable model?

The events must occur:

randomly; singly in space or time; independely of each other and at a constant rate

Answered by Rizwana A. • Maths tutor

3348 Views

Explain how Differentiation by the chain rule works

If the expression to be differentiated is a (differentiable) function of another (differentiable) function, then the chain rule must be applied. For example y= f(g(x)), where f and g are both differentiab...

Answered by Gwyndaf O. • Maths tutor

3466 Views