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Example of product rule - if y=e^(3x-x^3), what are the coordinates of stationary points and what are their nature?

Given this is a maths problem a whiteboard will be heavily relied upon, but I'll do my best to get the appropriate notation here.Starting with y=e 3x-x^3 , we have to get to the stationary points and find wh...
DD
Answered by Dylan D. • Maths tutor
3969 Views

Why/How does differentiation work?

In order to fully understand how differentiation works, it is useful to be able to derive it. To do this, we must first consider the general curve y = f(x), we'll make this curve more specific later on. Firs...
JK
Answered by Jack K. • Maths tutor
4243 Views

How do I find the maximum/minimum of a function?

Suppose y is a function of x: y = f(x) At the maximum/minimum of the curve y, the first derivative of the function (with respect to x) is equal to zero: dy/dx = 0 To check whether this is a maximum or a mini...
JD
Answered by Josh D. • Maths tutor
25279 Views

How does integration by parts work?

The method of integration by parts is working upon the Product Rule in differentiation. We know the Product Rule to be d/dt (uv) = uv' + vu', where u and v are separate functions and u' and v' are the corres...
FI
Answered by Finn I. • Maths tutor
3703 Views

What is the remainder when you divide 2x^3+7x^2-4x+7 by x^2+2x-1?

Before we answer the question let's compare the method taught for polynomial long divison to regular long division.If we wanted to find the remainder of 71 when divided by 3, we would find the nearest whole ...
JM
Answered by Jack M. • Maths tutor
4759 Views