Top answers

Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.

To find the answer you must first differentiate the function and set this equal to zero. This forms the quadratic equation x^2+2 x-3=0 which can then be solved either by factorisation or by using the quadrat...
AN
Answered by Alex N. • Maths tutor
4444 Views

Why do we have to add the +c when integrating a function

First of all it is important to know that differentiation is the opposite of integration. So if we integrate some function g(x) and get f(x), it means that when we differentiate f(x) we should get g(x). We d...
NS
Answered by Niraj S. • Maths tutor
5399 Views

Solve the following equation: 5x - 1 = 3x + 7

5x - 1 = 3x + 75x = 3x + 82x = 8x = 4
DH
Answered by Daragh H. • Maths tutor
5398 Views

Show, by first principles, that the differential of x^2 is 2x.

First I would draw a Diagram of y=x 2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x 2 we can then equate the sane point to (x, x 2 ). Then I would note that a...
KJ
Answered by Kieren J. • Maths tutor
3914 Views

Find the stationary points of the function f(x) = x^3+6x^2+2 and determine if they are local maximums or minimums.

A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0 . To construct this equation we must differentiate the function, we would find f'(x) = 3x 2 +12x . The corre...
LS
Answered by Luke S. • Maths tutor
5784 Views