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Find the stationary points of the function f(x) = x^3 - 27x and determine whether they are maxima or minima

A stationary point occurs when the first derivative of the function = 0. The first derivative of f(x) is df(x)/dx = 3x^2 - 27Setting this to zero gives 3x^2 - 27 = 0 -> x = +/- 3
To find whether i...

Answered by Iman S. Maths tutor
4180 Views

what is d(2x^3)/dx?

the differential of a function y=2x^3 is the rate of change of that function. finding the differential is done by following the steps below:1) bring down the power of the x term and multiply it by the ter...

Answered by Charlotte Z. Maths tutor
3347 Views

Peter is 180cm tall, correct to 2 significant figures. Alice is 150cm tall, correct to 2 significant figures. What is the upper and lower bound of the difference in their heights?

Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper...

Answered by James T. Maths tutor
3045 Views

320 people go on a coach trip. Each trip holds 53 people. Gary says 6 coaches are needed. Is Gary correct?

53 x 6 = 318320-318 = 2There are not enough coaches for the amount of people. 2 people would not be on a coach. 7 coaches are needed to ensure everyone has a seat on a coach.

Answered by Arthur E. Maths tutor
5660 Views

The curve C has equation y=2x^2 -11x +13. (a) The point P has coordinates (2, – 1) and lies on C. Find the equation of the tangent to C at P.

We must firstly understand that the tangent at point P is linear, and we must use y = mx +c format for the equation. To calculate the equation we need to find the unknowns m and c. To find the unknown m w...

Answered by Charles K. Maths tutor
6033 Views

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