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Maths
A Level

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 cor...

FI
Answered by Finn I. • Maths tutor
2975 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 who...

JM
Answered by Jack M. • Maths tutor
3908 Views

Given that y = 16x + x^-1, find the two values of x for which dy/dx = 0

Expected layout of answer in an exam:y = 16x + x-1dy/dx = 16 - x-2dy/dx = 0 implies that 16 - x-2 = 0this implies that 16 = x-216 = 1/x2

SH
Answered by Sawdah H. • Maths tutor
3892 Views

How do I differentiate?

Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.

y=2x(x2-1)5dy/dx= 2(x2-1)5 + 2x*10x(x2-1)4dy/dx=(x2-1)4(2x2-2+20x2)dy/dx=(x2-1)

KS
Answered by Katie S. • Maths tutor
8402 Views

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