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Given that f(x)= (3+x^2)(x^1/2-7x). Find f'(x) (5marks)

Because there are two functions that are enclosed in brackets, you should realise that you need to differentiate by parts. You can expand out and differentiate through, but because of the x^1/2 it can get qu...
AS
Answered by Amrit S. • Maths tutor
4080 Views

What is the smallest possible value of the integral ∫(x-a)^2 dx between 0 and 1 as a varies?

This is a minimisation problem, but it's slightly tricky to see what it is we're minimising. Seeing as it's a that's varying, we are going to have to differentiate with respect to a at some point. We're goin...
RT
Answered by Ryan T. • Maths tutor
12225 Views

What is the centre and radius of the circle x^2+y^2-6x+4y=-4

First make left =0x 2 +y 2 -6x+4y+4=0Second put same terms together(x 2 -6x)+(y 2 +4y)+4=0Complete the Square (do a square (X+b) 2 that gives you you x 2 and x terms, repeat with y) these give you the centre...
FC
Answered by Flik C. • Maths tutor
3665 Views

The curve C has equation y = 2x^2 - 12x + 16 Find the gradient of the curve at the point P (5, 6).

The most simple way to find the gradient of a quadratic curve at a point is to differentiate. Through differentiation a function for the gradient at each value of x can be found. 'y' must be isolated on one ...
MS
Answered by Matthew S. • Maths tutor
18751 Views

Find the inverse of the matrix C=(1,2;4,9)

Give the general formula for determinant and inverse of 2x2 matrix. Calculate determinant=1 9-2 8=1 using formula inverse=1/determinant*(8,-2;-4,1)
NA
Answered by Nefeli A. • Maths tutor
3510 Views